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Simplifying (2x + -3)(x + 10) = 0 Reorder the terms: (-3 + 2x)(x + 10) = 0 Reorder the terms: (-3 + 2x)(10 + x) = 0 Multiply (-3 + 2x) * (10 + x) (-3(10 + x) + 2x * (10 + x)) = 0 ((10 * -3 + x * -3) + 2x * (10 + x)) = 0 ((-30 + -3x) + 2x * (10 + x)) = 0 (-30 + -3x + (10 * 2x + x * 2x)) = 0 (-30 + -3x + (20x + 2x2)) = 0 Combine like terms: -3x + 20x = 17x (-30 + 17x + 2x2) = 0 Solving -30 + 17x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-10, 1.5}
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