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Simplifying x2 + 5x = 6whatisx Reorder the terms: 5x + x2 = 6whatisx Solving 5x + x2 = 6ahistwx Solving for variable 'x'. Reorder the terms: -6ahistwx + 5x + x2 = 6ahistwx + -6ahistwx Combine like terms: 6ahistwx + -6ahistwx = 0 -6ahistwx + 5x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6ahistw + 5 + x) = 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 '(-6ahistw + 5 + x)' equal to zero and attempt to solve: Simplifying -6ahistw + 5 + x = 0 Reorder the terms: 5 + -6ahistw + x = 0 Solving 5 + -6ahistw + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6ahistw + -5 + x = 0 + -5 Reorder the terms: 5 + -5 + -6ahistw + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6ahistw + x = 0 + -5 -6ahistw + x = 0 + -5 Combine like terms: 0 + -5 = -5 -6ahistw + x = -5 Add '6ahistw' to each side of the equation. -6ahistw + 6ahistw + x = -5 + 6ahistw Combine like terms: -6ahistw + 6ahistw = 0 0 + x = -5 + 6ahistw x = -5 + 6ahistw Simplifying x = -5 + 6ahistwSolution
x = {0, -5 + 6ahistw}
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