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Simplifying x * x + -25 = 7(x + -5) Multiply x * x x2 + -25 = 7(x + -5) Reorder the terms: -25 + x2 = 7(x + -5) Reorder the terms: -25 + x2 = 7(-5 + x) -25 + x2 = (-5 * 7 + x * 7) -25 + x2 = (-35 + 7x) Solving -25 + x2 = -35 + 7x Solving for variable 'x'. Reorder the terms: -25 + 35 + -7x + x2 = -35 + 7x + 35 + -7x Combine like terms: -25 + 35 = 10 10 + -7x + x2 = -35 + 7x + 35 + -7x Reorder the terms: 10 + -7x + x2 = -35 + 35 + 7x + -7x Combine like terms: -35 + 35 = 0 10 + -7x + x2 = 0 + 7x + -7x 10 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 10 + -7x + x2 = 0 Factor a trinomial. (2 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
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 = 5Solution
x = {2, 5}
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