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Simplifying x2 + 8x = 48whatisx Reorder the terms: 8x + x2 = 48whatisx Solving 8x + x2 = 48ahistwx Solving for variable 'x'. Reorder the terms: -48ahistwx + 8x + x2 = 48ahistwx + -48ahistwx Combine like terms: 48ahistwx + -48ahistwx = 0 -48ahistwx + 8x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-48ahistw + 8 + 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 '(-48ahistw + 8 + x)' equal to zero and attempt to solve: Simplifying -48ahistw + 8 + x = 0 Reorder the terms: 8 + -48ahistw + x = 0 Solving 8 + -48ahistw + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -48ahistw + -8 + x = 0 + -8 Reorder the terms: 8 + -8 + -48ahistw + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -48ahistw + x = 0 + -8 -48ahistw + x = 0 + -8 Combine like terms: 0 + -8 = -8 -48ahistw + x = -8 Add '48ahistw' to each side of the equation. -48ahistw + 48ahistw + x = -8 + 48ahistw Combine like terms: -48ahistw + 48ahistw = 0 0 + x = -8 + 48ahistw x = -8 + 48ahistw Simplifying x = -8 + 48ahistwSolution
x = {0, -8 + 48ahistw}
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