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Simplifying 4x2 + -21x + 7 = -8x + 4 Reorder the terms: 7 + -21x + 4x2 = -8x + 4 Reorder the terms: 7 + -21x + 4x2 = 4 + -8x Solving 7 + -21x + 4x2 = 4 + -8x Solving for variable 'x'. Reorder the terms: 7 + -4 + -21x + 8x + 4x2 = 4 + -8x + -4 + 8x Combine like terms: 7 + -4 = 3 3 + -21x + 8x + 4x2 = 4 + -8x + -4 + 8x Combine like terms: -21x + 8x = -13x 3 + -13x + 4x2 = 4 + -8x + -4 + 8x Reorder the terms: 3 + -13x + 4x2 = 4 + -4 + -8x + 8x Combine like terms: 4 + -4 = 0 3 + -13x + 4x2 = 0 + -8x + 8x 3 + -13x + 4x2 = -8x + 8x Combine like terms: -8x + 8x = 0 3 + -13x + 4x2 = 0 Factor a trinomial. (1 + -4x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.25, 3}
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