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Simplifying 8x = 5x(26 + -1x) 8x = (26 * 5x + -1x * 5x) 8x = (130x + -5x2) Solving 8x = 130x + -5x2 Solving for variable 'x'. Combine like terms: 8x + -130x = -122x -122x + 5x2 = 130x + -5x2 + -130x + 5x2 Reorder the terms: -122x + 5x2 = 130x + -130x + -5x2 + 5x2 Combine like terms: 130x + -130x = 0 -122x + 5x2 = 0 + -5x2 + 5x2 -122x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -122x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-122 + 5x) = 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 '(-122 + 5x)' equal to zero and attempt to solve: Simplifying -122 + 5x = 0 Solving -122 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '122' to each side of the equation. -122 + 122 + 5x = 0 + 122 Combine like terms: -122 + 122 = 0 0 + 5x = 0 + 122 5x = 0 + 122 Combine like terms: 0 + 122 = 122 5x = 122 Divide each side by '5'. x = 24.4 Simplifying x = 24.4Solution
x = {0, 24.4}
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