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Simplifying (2x)(2x) + -11x + 17 = 5x + 2 Remove parenthesis around (2x) 2x(2x) + -11x + 17 = 5x + 2 Remove parenthesis around (2x) 2x * 2x + -11x + 17 = 5x + 2 Reorder the terms for easier multiplication: 2 * 2x * x + -11x + 17 = 5x + 2 Multiply 2 * 2 4x * x + -11x + 17 = 5x + 2 Multiply x * x 4x2 + -11x + 17 = 5x + 2 Reorder the terms: 17 + -11x + 4x2 = 5x + 2 Reorder the terms: 17 + -11x + 4x2 = 2 + 5x Solving 17 + -11x + 4x2 = 2 + 5x Solving for variable 'x'. Reorder the terms: 17 + -2 + -11x + -5x + 4x2 = 2 + 5x + -2 + -5x Combine like terms: 17 + -2 = 15 15 + -11x + -5x + 4x2 = 2 + 5x + -2 + -5x Combine like terms: -11x + -5x = -16x 15 + -16x + 4x2 = 2 + 5x + -2 + -5x Reorder the terms: 15 + -16x + 4x2 = 2 + -2 + 5x + -5x Combine like terms: 2 + -2 = 0 15 + -16x + 4x2 = 0 + 5x + -5x 15 + -16x + 4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 15 + -16x + 4x2 = 0 Factor a trinomial. (3 + -2x)(5 + -2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {1.5, 2.5}
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