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Simplifying (9x2 + -7x + 65) + -1(11x + 8x2) = 0 Reorder the terms: (65 + -7x + 9x2) + -1(11x + 8x2) = 0 Remove parenthesis around (65 + -7x + 9x2) 65 + -7x + 9x2 + -1(11x + 8x2) = 0 65 + -7x + 9x2 + (11x * -1 + 8x2 * -1) = 0 65 + -7x + 9x2 + (-11x + -8x2) = 0 Reorder the terms: 65 + -7x + -11x + 9x2 + -8x2 = 0 Combine like terms: -7x + -11x = -18x 65 + -18x + 9x2 + -8x2 = 0 Combine like terms: 9x2 + -8x2 = 1x2 65 + -18x + 1x2 = 0 Solving 65 + -18x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {5, 13}
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