Решите уравнение (№ 449-458): 449. (10x-4)(3x + 2) = 0. 450. (3x+1)(6-4x) = 0. 451. (5x-4)(x + 8) = 0. 452. (6x + 3)(9 – x) = 0. 453. (x + 5)(2x-1/3)=0. 454. (x - 1)(5x+1/2)=0. 455.6(10-x)(3x + 4) = 0. 456.2(5x - 7)(1 + x) = 0. 457. (3x + 18)(2-x)=1 458. (6-x)(5x + 40) = 0.

Привет! Разбираемся с уравнениями. Тут главное – помнить, что произведение равно нулю, когда хотя бы один из множителей равен нулю.

449. (10x - 4)(3x + 2) = 0

• 10x - 4 = 0 => 10x = 4 => x = 4/10 = 2/5 = 0.4
• 3x + 2 = 0 => 3x = -2 => x = -2/3

Ответ: x = 0.4, x = -2/3

450. (3x + 1)(6 - 4x) = 0

• 3x + 1 = 0 => 3x = -1 => x = -1/3
• 6 - 4x = 0 => 4x = 6 => x = 6/4 = 3/2 = 1.5

Ответ: x = -1/3, x = 1.5

451. (5x - 4)(x + 8) = 0

• 5x - 4 = 0 => 5x = 4 => x = 4/5 = 0.8
• x + 8 = 0 => x = -8

Ответ: x = 0.8, x = -8

452. (6x + 3)(9 - x) = 0

• 6x + 3 = 0 => 6x = -3 => x = -3/6 = -1/2 = -0.5
• 9 - x = 0 => x = 9

Ответ: x = -0.5, x = 9

453. (x + 5)(2x - 1/3) = 0

• x + 5 = 0 => x = -5
• 2x - 1/3 = 0 => 2x = 1/3 => x = 1/6

Ответ: x = -5, x = 1/6

454. (x - 1)(5x + 1/2) = 0

• x - 1 = 0 => x = 1
• 5x + 1/2 = 0 => 5x = -1/2 => x = -1/10 = -0.1

Ответ: x = 1, x = -0.1

455. 6(10 - x)(3x + 4) = 0

• 10 - x = 0 => x = 10
• 3x + 4 = 0 => 3x = -4 => x = -4/3

Ответ: x = 10, x = -4/3

456. 2(5x - 7)(1 + x) = 0

• 5x - 7 = 0 => 5x = 7 => x = 7/5 = 1.4
• 1 + x = 0 => x = -1

Ответ: x = 1.4, x = -1

457. (3x + 18)(2 - x) = 0

• 3x + 18 = 0 => 3x = -18 => x = -6
• 2 - x = 0 => x = 2

Ответ: x = -6, x = 2

458. (6 - x)(5x + 40) = 0

• 6 - x = 0 => x = 6
• 5x + 40 = 0 => 5x = -40 => x = -8

Ответ: x = 6, x = -8