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Simplifying 3x + 5x = 180whatisx Combine like terms: 3x + 5x = 8x 8x = 180whatisx Solving 8x = 180ahistwx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180ahistwx' to each side of the equation. -180ahistwx + 8x = 180ahistwx + -180ahistwx Combine like terms: 180ahistwx + -180ahistwx = 0 -180ahistwx + 8x = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-45ahistw + 2) = 0 Ignore the factor 4.Subproblem 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 '(-45ahistw + 2)' equal to zero and attempt to solve: Simplifying -45ahistw + 2 = 0 Reorder the terms: 2 + -45ahistw = 0 Solving 2 + -45ahistw = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -45ahistw = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -45ahistw = 0 + -2 -45ahistw = 0 + -2 Combine like terms: 0 + -2 = -2 -45ahistw = -2 Add '45ahistw' to each side of the equation. -45ahistw + 45ahistw = -2 + 45ahistw Combine like terms: -45ahistw + 45ahistw = 0 0 = -2 + 45ahistw Simplifying 0 = -2 + 45ahistw The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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