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Simplifying (8x + 2)(7 + -6x) = 0 Reorder the terms: (2 + 8x)(7 + -6x) = 0 Multiply (2 + 8x) * (7 + -6x) (2(7 + -6x) + 8x * (7 + -6x)) = 0 ((7 * 2 + -6x * 2) + 8x * (7 + -6x)) = 0 ((14 + -12x) + 8x * (7 + -6x)) = 0 (14 + -12x + (7 * 8x + -6x * 8x)) = 0 (14 + -12x + (56x + -48x2)) = 0 Combine like terms: -12x + 56x = 44x (14 + 44x + -48x2) = 0 Solving 14 + 44x + -48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 22x + -24x2) = 0 Factor a trinomial. 2((7 + -6x)(1 + 4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {1.166666667, -0.25}
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