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Simplifying 4x2 + -29x + 8 = -8x + 3 Reorder the terms: 8 + -29x + 4x2 = -8x + 3 Reorder the terms: 8 + -29x + 4x2 = 3 + -8x Solving 8 + -29x + 4x2 = 3 + -8x Solving for variable 'x'. Reorder the terms: 8 + -3 + -29x + 8x + 4x2 = 3 + -8x + -3 + 8x Combine like terms: 8 + -3 = 5 5 + -29x + 8x + 4x2 = 3 + -8x + -3 + 8x Combine like terms: -29x + 8x = -21x 5 + -21x + 4x2 = 3 + -8x + -3 + 8x Reorder the terms: 5 + -21x + 4x2 = 3 + -3 + -8x + 8x Combine like terms: 3 + -3 = 0 5 + -21x + 4x2 = 0 + -8x + 8x 5 + -21x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 5 + -21x + 4x2 = 0 Factor a trinomial. (1 + -4x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.25, 5}
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