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Simplifying (6 + -1x)(5x + 40) = 0 Reorder the terms: (6 + -1x)(40 + 5x) = 0 Multiply (6 + -1x) * (40 + 5x) (6(40 + 5x) + -1x * (40 + 5x)) = 0 ((40 * 6 + 5x * 6) + -1x * (40 + 5x)) = 0 ((240 + 30x) + -1x * (40 + 5x)) = 0 (240 + 30x + (40 * -1x + 5x * -1x)) = 0 (240 + 30x + (-40x + -5x2)) = 0 Combine like terms: 30x + -40x = -10x (240 + -10x + -5x2) = 0 Solving 240 + -10x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(48 + -2x + -1x2) = 0 Factor a trinomial. 5((6 + -1x)(8 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {6, -8}
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