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Simplifying 4x(4 + -1x) = 5x (4 * 4x + -1x * 4x) = 5x (16x + -4x2) = 5x Solving 16x + -4x2 = 5x Solving for variable 'x'. Reorder the terms: 16x + -5x + -4x2 = 5x + -5x Combine like terms: 16x + -5x = 11x 11x + -4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 11x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -4x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(11 + -4x)' equal to zero and attempt to solve: Simplifying 11 + -4x = 0 Solving 11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = 0 + -11 -4x = 0 + -11 Combine like terms: 0 + -11 = -11 -4x = -11 Divide each side by '-4'. x = 2.75 Simplifying x = 2.75Solution
x = {0, 2.75}
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