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Simplifying (x + -4)(x + 3) = x + -13 Reorder the terms: (-4 + x)(x + 3) = x + -13 Reorder the terms: (-4 + x)(3 + x) = x + -13 Multiply (-4 + x) * (3 + x) (-4(3 + x) + x(3 + x)) = x + -13 ((3 * -4 + x * -4) + x(3 + x)) = x + -13 ((-12 + -4x) + x(3 + x)) = x + -13 (-12 + -4x + (3 * x + x * x)) = x + -13 (-12 + -4x + (3x + x2)) = x + -13 Combine like terms: -4x + 3x = -1x (-12 + -1x + x2) = x + -13 Reorder the terms: -12 + -1x + x2 = -13 + x Solving -12 + -1x + x2 = -13 + x Solving for variable 'x'. Reorder the terms: -12 + 13 + -1x + -1x + x2 = -13 + x + 13 + -1x Combine like terms: -12 + 13 = 1 1 + -1x + -1x + x2 = -13 + x + 13 + -1x Combine like terms: -1x + -1x = -2x 1 + -2x + x2 = -13 + x + 13 + -1x Reorder the terms: 1 + -2x + x2 = -13 + 13 + x + -1x Combine like terms: -13 + 13 = 0 1 + -2x + x2 = 0 + x + -1x 1 + -2x + x2 = x + -1x Combine like terms: x + -1x = 0 1 + -2x + x2 = 0 Factor a trinomial. (1 + -1x)(1 + -1x) = 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 '(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 = 1Solution
x = {1, 1}
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