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Simplifying 159 = 4x2 + 2x + 3 Reorder the terms: 159 = 3 + 2x + 4x2 Solving 159 = 3 + 2x + 4x2 Solving for variable 'x'. Combine like terms: 159 + -3 = 156 156 + -2x + -4x2 = 3 + 2x + 4x2 + -3 + -2x + -4x2 Reorder the terms: 156 + -2x + -4x2 = 3 + -3 + 2x + -2x + 4x2 + -4x2 Combine like terms: 3 + -3 = 0 156 + -2x + -4x2 = 0 + 2x + -2x + 4x2 + -4x2 156 + -2x + -4x2 = 2x + -2x + 4x2 + -4x2 Combine like terms: 2x + -2x = 0 156 + -2x + -4x2 = 0 + 4x2 + -4x2 156 + -2x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 156 + -2x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(78 + -1x + -2x2) = 0 Factor a trinomial. 2((6 + -1x)(13 + 2x)) = 0 Ignore the factor 2.Subproblem 1
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 = 6Subproblem 2
Set the factor '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Solution
x = {6, -6.5}
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