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Simplifying 4x2 + -13x + 27 = 6x + 6 Reorder the terms: 27 + -13x + 4x2 = 6x + 6 Reorder the terms: 27 + -13x + 4x2 = 6 + 6x Solving 27 + -13x + 4x2 = 6 + 6x Solving for variable 'x'. Reorder the terms: 27 + -6 + -13x + -6x + 4x2 = 6 + 6x + -6 + -6x Combine like terms: 27 + -6 = 21 21 + -13x + -6x + 4x2 = 6 + 6x + -6 + -6x Combine like terms: -13x + -6x = -19x 21 + -19x + 4x2 = 6 + 6x + -6 + -6x Reorder the terms: 21 + -19x + 4x2 = 6 + -6 + 6x + -6x Combine like terms: 6 + -6 = 0 21 + -19x + 4x2 = 0 + 6x + -6x 21 + -19x + 4x2 = 6x + -6x Combine like terms: 6x + -6x = 0 21 + -19x + 4x2 = 0 Factor a trinomial. (7 + -4x)(3 + -1x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 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 = {1.75, 3}
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