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Simplifying 8x2 = 42 + 16x Solving 8x2 = 42 + 16x Solving for variable 'x'. Reorder the terms: -42 + -16x + 8x2 = 42 + 16x + -42 + -16x Reorder the terms: -42 + -16x + 8x2 = 42 + -42 + 16x + -16x Combine like terms: 42 + -42 = 0 -42 + -16x + 8x2 = 0 + 16x + -16x -42 + -16x + 8x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -42 + -16x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + -8x + 4x2) = 0 Factor a trinomial. 2((-3 + -2x)(7 + -2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-1.5, 3.5}
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