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Simplifying 8x2 + -54x + -29 = 0 Reorder the terms: -29 + -54x + 8x2 = 0 Solving -29 + -54x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2x)(29 + -4x) = 0Subproblem 1
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 = -0.5Subproblem 2
Set the factor '(29 + -4x)' equal to zero and attempt to solve: Simplifying 29 + -4x = 0 Solving 29 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -4x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = 0 + -29 -4x = 0 + -29 Combine like terms: 0 + -29 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25Solution
x = {-0.5, 7.25}
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