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Simplifying (5x + 6)(x + -6) = 0 Reorder the terms: (6 + 5x)(x + -6) = 0 Reorder the terms: (6 + 5x)(-6 + x) = 0 Multiply (6 + 5x) * (-6 + x) (6(-6 + x) + 5x * (-6 + x)) = 0 ((-6 * 6 + x * 6) + 5x * (-6 + x)) = 0 ((-36 + 6x) + 5x * (-6 + x)) = 0 (-36 + 6x + (-6 * 5x + x * 5x)) = 0 (-36 + 6x + (-30x + 5x2)) = 0 Combine like terms: 6x + -30x = -24x (-36 + -24x + 5x2) = 0 Solving -36 + -24x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 6}
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