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Simplifying 4x(x + -6) + 3(x + -6) = 0 Reorder the terms: 4x(-6 + x) + 3(x + -6) = 0 (-6 * 4x + x * 4x) + 3(x + -6) = 0 (-24x + 4x2) + 3(x + -6) = 0 Reorder the terms: -24x + 4x2 + 3(-6 + x) = 0 -24x + 4x2 + (-6 * 3 + x * 3) = 0 -24x + 4x2 + (-18 + 3x) = 0 Reorder the terms: -18 + -24x + 3x + 4x2 = 0 Combine like terms: -24x + 3x = -21x -18 + -21x + 4x2 = 0 Solving -18 + -21x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(6 + -1x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-0.75, 6}
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