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Simplifying -5x2 + 7x + 8 = x Reorder the terms: 8 + 7x + -5x2 = x Solving 8 + 7x + -5x2 = x Solving for variable 'x'. Reorder the terms: 8 + 7x + -1x + -5x2 = x + -1x Combine like terms: 7x + -1x = 6x 8 + 6x + -5x2 = x + -1x Combine like terms: x + -1x = 0 8 + 6x + -5x2 = 0 Factor a trinomial. (2 + -1x)(4 + 5x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {2, -0.8}
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