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Simplifying (2x + -5)(x + 10) = 0 Reorder the terms: (-5 + 2x)(x + 10) = 0 Reorder the terms: (-5 + 2x)(10 + x) = 0 Multiply (-5 + 2x) * (10 + x) (-5(10 + x) + 2x * (10 + x)) = 0 ((10 * -5 + x * -5) + 2x * (10 + x)) = 0 ((-50 + -5x) + 2x * (10 + x)) = 0 (-50 + -5x + (10 * 2x + x * 2x)) = 0 (-50 + -5x + (20x + 2x2)) = 0 Combine like terms: -5x + 20x = 15x (-50 + 15x + 2x2) = 0 Solving -50 + 15x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-10 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 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 = {-10, 2.5}
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