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Simplifying 0 = (6x + 9) + (4x2 + -7) Reorder the terms: 0 = (9 + 6x) + (4x2 + -7) Remove parenthesis around (9 + 6x) 0 = 9 + 6x + (4x2 + -7) Reorder the terms: 0 = 9 + 6x + (-7 + 4x2) Remove parenthesis around (-7 + 4x2) 0 = 9 + 6x + -7 + 4x2 Reorder the terms: 0 = 9 + -7 + 6x + 4x2 Combine like terms: 9 + -7 = 2 0 = 2 + 6x + 4x2 Solving 0 = 2 + 6x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -2 = -2 -2 + -6x + -4x2 = 2 + 6x + 4x2 + -2 + -6x + -4x2 Reorder the terms: -2 + -6x + -4x2 = 2 + -2 + 6x + -6x + 4x2 + -4x2 Combine like terms: 2 + -2 = 0 -2 + -6x + -4x2 = 0 + 6x + -6x + 4x2 + -4x2 -2 + -6x + -4x2 = 6x + -6x + 4x2 + -4x2 Combine like terms: 6x + -6x = 0 -2 + -6x + -4x2 = 0 + 4x2 + -4x2 -2 + -6x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2 + -6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(1 + 3x + 2x2) = 0 Factor a trinomial. -2((1 + x)(1 + 2x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 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 = {-1, -0.5}
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