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Simplifying 5 = x(4x + -1) Reorder the terms: 5 = x(-1 + 4x) 5 = (-1 * x + 4x * x) 5 = (-1x + 4x2) Solving 5 = -1x + 4x2 Solving for variable 'x'. Reorder the terms: 5 + x + -4x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 5 + x + -4x2 = 0 + 4x2 + -4x2 5 + x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5 + x + -4x2 = 0 Factor a trinomial. (5 + -4x)(1 + x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {1.25, -1}
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