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Simplifying (x + 5)(-2x + 3) = 0 Reorder the terms: (5 + x)(-2x + 3) = 0 Reorder the terms: (5 + x)(3 + -2x) = 0 Multiply (5 + x) * (3 + -2x) (5(3 + -2x) + x(3 + -2x)) = 0 ((3 * 5 + -2x * 5) + x(3 + -2x)) = 0 ((15 + -10x) + x(3 + -2x)) = 0 (15 + -10x + (3 * x + -2x * x)) = 0 (15 + -10x + (3x + -2x2)) = 0 Combine like terms: -10x + 3x = -7x (15 + -7x + -2x2) = 0 Solving 15 + -7x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(5 + x) = 0Subproblem 1
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 = 1.5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1.5, -5}
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