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Simplifying (x + -5)(40 + -1x) = 4(x + -5) Reorder the terms: (-5 + x)(40 + -1x) = 4(x + -5) Multiply (-5 + x) * (40 + -1x) (-5(40 + -1x) + x(40 + -1x)) = 4(x + -5) ((40 * -5 + -1x * -5) + x(40 + -1x)) = 4(x + -5) ((-200 + 5x) + x(40 + -1x)) = 4(x + -5) (-200 + 5x + (40 * x + -1x * x)) = 4(x + -5) (-200 + 5x + (40x + -1x2)) = 4(x + -5) Combine like terms: 5x + 40x = 45x (-200 + 45x + -1x2) = 4(x + -5) Reorder the terms: -200 + 45x + -1x2 = 4(-5 + x) -200 + 45x + -1x2 = (-5 * 4 + x * 4) -200 + 45x + -1x2 = (-20 + 4x) Solving -200 + 45x + -1x2 = -20 + 4x Solving for variable 'x'. Reorder the terms: -200 + 20 + 45x + -4x + -1x2 = -20 + 4x + 20 + -4x Combine like terms: -200 + 20 = -180 -180 + 45x + -4x + -1x2 = -20 + 4x + 20 + -4x Combine like terms: 45x + -4x = 41x -180 + 41x + -1x2 = -20 + 4x + 20 + -4x Reorder the terms: -180 + 41x + -1x2 = -20 + 20 + 4x + -4x Combine like terms: -20 + 20 = 0 -180 + 41x + -1x2 = 0 + 4x + -4x -180 + 41x + -1x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -180 + 41x + -1x2 = 0 Factor a trinomial. (-36 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-36 + x)' equal to zero and attempt to solve: Simplifying -36 + x = 0 Solving -36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x = 0 + 36 x = 0 + 36 Combine like terms: 0 + 36 = 36 x = 36 Simplifying x = 36Subproblem 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 = {36, 5}
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