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Simplifying 8 = 3x + 5x2 Solving 8 = 3x + 5x2 Solving for variable 'x'. Reorder the terms: 8 + -3x + -5x2 = 3x + -3x + 5x2 + -5x2 Combine like terms: 3x + -3x = 0 8 + -3x + -5x2 = 0 + 5x2 + -5x2 8 + -3x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 8 + -3x + -5x2 = 0 Factor a trinomial. (1 + -1x)(8 + 5x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 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 = {1, -1.6}
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