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Simplifying (x + -5)(x + -45) = 0 Reorder the terms: (-5 + x)(x + -45) = 0 Reorder the terms: (-5 + x)(-45 + x) = 0 Multiply (-5 + x) * (-45 + x) (-5(-45 + x) + x(-45 + x)) = 0 ((-45 * -5 + x * -5) + x(-45 + x)) = 0 ((225 + -5x) + x(-45 + x)) = 0 (225 + -5x + (-45 * x + x * x)) = 0 (225 + -5x + (-45x + x2)) = 0 Combine like terms: -5x + -45x = -50x (225 + -50x + x2) = 0 Solving 225 + -50x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(45 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {5, 45}
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