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Simplifying x(2x + 7) = 114 Reorder the terms: x(7 + 2x) = 114 (7 * x + 2x * x) = 114 (7x + 2x2) = 114 Solving 7x + 2x2 = 114 Solving for variable 'x'. Reorder the terms: -114 + 7x + 2x2 = 114 + -114 Combine like terms: 114 + -114 = 0 -114 + 7x + 2x2 = 0 Factor a trinomial. (-19 + -2x)(6 + -1x) = 0Subproblem 1
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 = -9.5Subproblem 2
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 = 6Solution
x = {-9.5, 6}
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