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Simplifying (x + -2)(x + 3) = 5x + -10 Reorder the terms: (-2 + x)(x + 3) = 5x + -10 Reorder the terms: (-2 + x)(3 + x) = 5x + -10 Multiply (-2 + x) * (3 + x) (-2(3 + x) + x(3 + x)) = 5x + -10 ((3 * -2 + x * -2) + x(3 + x)) = 5x + -10 ((-6 + -2x) + x(3 + x)) = 5x + -10 (-6 + -2x + (3 * x + x * x)) = 5x + -10 (-6 + -2x + (3x + x2)) = 5x + -10 Combine like terms: -2x + 3x = 1x (-6 + 1x + x2) = 5x + -10 Reorder the terms: -6 + 1x + x2 = -10 + 5x Solving -6 + 1x + x2 = -10 + 5x Solving for variable 'x'. Reorder the terms: -6 + 10 + 1x + -5x + x2 = -10 + 5x + 10 + -5x Combine like terms: -6 + 10 = 4 4 + 1x + -5x + x2 = -10 + 5x + 10 + -5x Combine like terms: 1x + -5x = -4x 4 + -4x + x2 = -10 + 5x + 10 + -5x Reorder the terms: 4 + -4x + x2 = -10 + 10 + 5x + -5x Combine like terms: -10 + 10 = 0 4 + -4x + x2 = 0 + 5x + -5x 4 + -4x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 4 + -4x + x2 = 0 Factor a trinomial. (2 + -1x)(2 + -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 '(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 = 2Solution
x = {2, 2}
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