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Simplifying (7x + 3)(x + -6) = 0 Reorder the terms: (3 + 7x)(x + -6) = 0 Reorder the terms: (3 + 7x)(-6 + x) = 0 Multiply (3 + 7x) * (-6 + x) (3(-6 + x) + 7x * (-6 + x)) = 0 ((-6 * 3 + x * 3) + 7x * (-6 + x)) = 0 ((-18 + 3x) + 7x * (-6 + x)) = 0 (-18 + 3x + (-6 * 7x + x * 7x)) = 0 (-18 + 3x + (-42x + 7x2)) = 0 Combine like terms: 3x + -42x = -39x (-18 + -39x + 7x2) = 0 Solving -18 + -39x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -7x)(6 + -1x) = 0Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 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 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 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 = {-0.4285714286, 6}
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