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Simplifying -4x2 = 27x + -7 Reorder the terms: -4x2 = -7 + 27x Solving -4x2 = -7 + 27x Solving for variable 'x'. Reorder the terms: 7 + -27x + -4x2 = -7 + 27x + 7 + -27x Reorder the terms: 7 + -27x + -4x2 = -7 + 7 + 27x + -27x Combine like terms: -7 + 7 = 0 7 + -27x + -4x2 = 0 + 27x + -27x 7 + -27x + -4x2 = 27x + -27x Combine like terms: 27x + -27x = 0 7 + -27x + -4x2 = 0 Factor a trinomial. (1 + -4x)(7 + x) = 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0.25, -7}
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