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Simplifying (x + 4)(x + -5) = 5x + -29 Reorder the terms: (4 + x)(x + -5) = 5x + -29 Reorder the terms: (4 + x)(-5 + x) = 5x + -29 Multiply (4 + x) * (-5 + x) (4(-5 + x) + x(-5 + x)) = 5x + -29 ((-5 * 4 + x * 4) + x(-5 + x)) = 5x + -29 ((-20 + 4x) + x(-5 + x)) = 5x + -29 (-20 + 4x + (-5 * x + x * x)) = 5x + -29 (-20 + 4x + (-5x + x2)) = 5x + -29 Combine like terms: 4x + -5x = -1x (-20 + -1x + x2) = 5x + -29 Reorder the terms: -20 + -1x + x2 = -29 + 5x Solving -20 + -1x + x2 = -29 + 5x Solving for variable 'x'. Reorder the terms: -20 + 29 + -1x + -5x + x2 = -29 + 5x + 29 + -5x Combine like terms: -20 + 29 = 9 9 + -1x + -5x + x2 = -29 + 5x + 29 + -5x Combine like terms: -1x + -5x = -6x 9 + -6x + x2 = -29 + 5x + 29 + -5x Reorder the terms: 9 + -6x + x2 = -29 + 29 + 5x + -5x Combine like terms: -29 + 29 = 0 9 + -6x + x2 = 0 + 5x + -5x 9 + -6x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -6x + x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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