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Simplifying 2x(x + 1) = 7x + -2 Reorder the terms: 2x(1 + x) = 7x + -2 (1 * 2x + x * 2x) = 7x + -2 (2x + 2x2) = 7x + -2 Reorder the terms: 2x + 2x2 = -2 + 7x Solving 2x + 2x2 = -2 + 7x Solving for variable 'x'. Reorder the terms: 2 + 2x + -7x + 2x2 = -2 + 7x + 2 + -7x Combine like terms: 2x + -7x = -5x 2 + -5x + 2x2 = -2 + 7x + 2 + -7x Reorder the terms: 2 + -5x + 2x2 = -2 + 2 + 7x + -7x Combine like terms: -2 + 2 = 0 2 + -5x + 2x2 = 0 + 7x + -7x 2 + -5x + 2x2 = 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x + 2x2 = 0 Factor a trinomial. (1 + -2x)(2 + -1x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.5, 2}
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