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Simplifying (x + -1)(2x + -5) = 0 Reorder the terms: (-1 + x)(2x + -5) = 0 Reorder the terms: (-1 + x)(-5 + 2x) = 0 Multiply (-1 + x) * (-5 + 2x) (-1(-5 + 2x) + x(-5 + 2x)) = 0 ((-5 * -1 + 2x * -1) + x(-5 + 2x)) = 0 ((5 + -2x) + x(-5 + 2x)) = 0 (5 + -2x + (-5 * x + 2x * x)) = 0 (5 + -2x + (-5x + 2x2)) = 0 Combine like terms: -2x + -5x = -7x (5 + -7x + 2x2) = 0 Solving 5 + -7x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(5 + -2x) = 0Subproblem 1
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 = 1Subproblem 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, 2.5}
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