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Simplifying (x + 5)(2x + -1) = 11x + -5x2 Reorder the terms: (5 + x)(2x + -1) = 11x + -5x2 Reorder the terms: (5 + x)(-1 + 2x) = 11x + -5x2 Multiply (5 + x) * (-1 + 2x) (5(-1 + 2x) + x(-1 + 2x)) = 11x + -5x2 ((-1 * 5 + 2x * 5) + x(-1 + 2x)) = 11x + -5x2 ((-5 + 10x) + x(-1 + 2x)) = 11x + -5x2 (-5 + 10x + (-1 * x + 2x * x)) = 11x + -5x2 (-5 + 10x + (-1x + 2x2)) = 11x + -5x2 Combine like terms: 10x + -1x = 9x (-5 + 9x + 2x2) = 11x + -5x2 Solving -5 + 9x + 2x2 = 11x + -5x2 Solving for variable 'x'. Reorder the terms: -5 + 9x + -11x + 2x2 + 5x2 = 11x + -5x2 + -11x + 5x2 Combine like terms: 9x + -11x = -2x -5 + -2x + 2x2 + 5x2 = 11x + -5x2 + -11x + 5x2 Combine like terms: 2x2 + 5x2 = 7x2 -5 + -2x + 7x2 = 11x + -5x2 + -11x + 5x2 Reorder the terms: -5 + -2x + 7x2 = 11x + -11x + -5x2 + 5x2 Combine like terms: 11x + -11x = 0 -5 + -2x + 7x2 = 0 + -5x2 + 5x2 -5 + -2x + 7x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -5 + -2x + 7x2 = 0 Factor a trinomial. (-5 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 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 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.7142857143, 1}
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