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Simplifying 8x2 + -6x + -4 = -5 Reorder the terms: -4 + -6x + 8x2 = -5 Solving -4 + -6x + 8x2 = -5 Solving for variable 'x'. Reorder the terms: -4 + 5 + -6x + 8x2 = -5 + 5 Combine like terms: -4 + 5 = 1 1 + -6x + 8x2 = -5 + 5 Combine like terms: -5 + 5 = 0 1 + -6x + 8x2 = 0 Factor a trinomial. (1 + -4x)(1 + -2x) = 0Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.25, 0.5}
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