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Simplifying 4x(5x + -6) = 9 Reorder the terms: 4x(-6 + 5x) = 9 (-6 * 4x + 5x * 4x) = 9 (-24x + 20x2) = 9 Solving -24x + 20x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + -24x + 20x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -24x + 20x2 = 0 Factor a trinomial. (-3 + -10x)(3 + -2x) = 0Subproblem 1
Set the factor '(-3 + -10x)' equal to zero and attempt to solve: Simplifying -3 + -10x = 0 Solving -3 + -10x = 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 + -10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 0 + 3 -10x = 0 + 3 Combine like terms: 0 + 3 = 3 -10x = 3 Divide each side by '-10'. x = -0.3 Simplifying x = -0.3Subproblem 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 = {-0.3, 1.5}
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