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Simplifying -1(2x + -1)(x + -5) = 0 Reorder the terms: -1(-1 + 2x)(x + -5) = 0 Reorder the terms: -1(-1 + 2x)(-5 + x) = 0 Multiply (-1 + 2x) * (-5 + x) -1(-1(-5 + x) + 2x * (-5 + x)) = 0 -1((-5 * -1 + x * -1) + 2x * (-5 + x)) = 0 -1((5 + -1x) + 2x * (-5 + x)) = 0 -1(5 + -1x + (-5 * 2x + x * 2x)) = 0 -1(5 + -1x + (-10x + 2x2)) = 0 Combine like terms: -1x + -10x = -11x -1(5 + -11x + 2x2) = 0 (5 * -1 + -11x * -1 + 2x2 * -1) = 0 (-5 + 11x + -2x2) = 0 Solving -5 + 11x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + x)(1 + -2x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
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 = 0.5Solution
x = {5, 0.5}
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