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Simplifying (-2 + 5x)(x + 3) = 0 Reorder the terms: (-2 + 5x)(3 + x) = 0 Multiply (-2 + 5x) * (3 + x) (-2(3 + x) + 5x * (3 + x)) = 0 ((3 * -2 + x * -2) + 5x * (3 + x)) = 0 ((-6 + -2x) + 5x * (3 + x)) = 0 (-6 + -2x + (3 * 5x + x * 5x)) = 0 (-6 + -2x + (15x + 5x2)) = 0 Combine like terms: -2x + 15x = 13x (-6 + 13x + 5x2) = 0 Solving -6 + 13x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(2 + -5x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-3, 0.4}
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