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Simplifying 40(x2 + -1) = 39x Reorder the terms: 40(-1 + x2) = 39x (-1 * 40 + x2 * 40) = 39x (-40 + 40x2) = 39x Solving -40 + 40x2 = 39x Solving for variable 'x'. Reorder the terms: -40 + -39x + 40x2 = 39x + -39x Combine like terms: 39x + -39x = 0 -40 + -39x + 40x2 = 0 Factor a trinomial. (-5 + -8x)(8 + -5x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 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 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {-0.625, 1.6}
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