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Simplifying 0 = 36x2 + -90x + -756 Reorder the terms: 0 = -756 + -90x + 36x2 Solving 0 = -756 + -90x + 36x2 Solving for variable 'x'. Combine like terms: 0 + 756 = 756 756 + 90x + -36x2 = -756 + -90x + 36x2 + 756 + 90x + -36x2 Reorder the terms: 756 + 90x + -36x2 = -756 + 756 + -90x + 90x + 36x2 + -36x2 Combine like terms: -756 + 756 = 0 756 + 90x + -36x2 = 0 + -90x + 90x + 36x2 + -36x2 756 + 90x + -36x2 = -90x + 90x + 36x2 + -36x2 Combine like terms: -90x + 90x = 0 756 + 90x + -36x2 = 0 + 36x2 + -36x2 756 + 90x + -36x2 = 36x2 + -36x2 Combine like terms: 36x2 + -36x2 = 0 756 + 90x + -36x2 = 0 Factor out the Greatest Common Factor (GCF), '18'. 18(42 + 5x + -2x2) = 0 Factor a trinomial. 18((6 + -1x)(7 + 2x)) = 0 Ignore the factor 18.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 '(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 = {6, -3.5}
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