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Simplifying (8x + -3) + -1(4x2 + 2x + -7) = 0 Reorder the terms: (-3 + 8x) + -1(4x2 + 2x + -7) = 0 Remove parenthesis around (-3 + 8x) -3 + 8x + -1(4x2 + 2x + -7) = 0 Reorder the terms: -3 + 8x + -1(-7 + 2x + 4x2) = 0 -3 + 8x + (-7 * -1 + 2x * -1 + 4x2 * -1) = 0 -3 + 8x + (7 + -2x + -4x2) = 0 Reorder the terms: -3 + 7 + 8x + -2x + -4x2 = 0 Combine like terms: -3 + 7 = 4 4 + 8x + -2x + -4x2 = 0 Combine like terms: 8x + -2x = 6x 4 + 6x + -4x2 = 0 Solving 4 + 6x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 3x + -2x2) = 0 Factor a trinomial. 2((2 + -1x)(1 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {2, -0.5}
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