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Simplifying 154 = 4x2 + 26x + 40 Reorder the terms: 154 = 40 + 26x + 4x2 Solving 154 = 40 + 26x + 4x2 Solving for variable 'x'. Combine like terms: 154 + -40 = 114 114 + -26x + -4x2 = 40 + 26x + 4x2 + -40 + -26x + -4x2 Reorder the terms: 114 + -26x + -4x2 = 40 + -40 + 26x + -26x + 4x2 + -4x2 Combine like terms: 40 + -40 = 0 114 + -26x + -4x2 = 0 + 26x + -26x + 4x2 + -4x2 114 + -26x + -4x2 = 26x + -26x + 4x2 + -4x2 Combine like terms: 26x + -26x = 0 114 + -26x + -4x2 = 0 + 4x2 + -4x2 114 + -26x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 114 + -26x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(57 + -13x + -2x2) = 0 Factor a trinomial. 2((3 + -1x)(19 + 2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(19 + 2x)' equal to zero and attempt to solve: Simplifying 19 + 2x = 0 Solving 19 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 0 + -19 2x = 0 + -19 Combine like terms: 0 + -19 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5Solution
x = {3, -9.5}
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