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Simplifying 3x2 + -10x + 60 = x2 + -5x + 60 Reorder the terms: 60 + -10x + 3x2 = x2 + -5x + 60 Reorder the terms: 60 + -10x + 3x2 = 60 + -5x + x2 Add '-60' to each side of the equation. 60 + -10x + -60 + 3x2 = 60 + -5x + -60 + x2 Reorder the terms: 60 + -60 + -10x + 3x2 = 60 + -5x + -60 + x2 Combine like terms: 60 + -60 = 0 0 + -10x + 3x2 = 60 + -5x + -60 + x2 -10x + 3x2 = 60 + -5x + -60 + x2 Reorder the terms: -10x + 3x2 = 60 + -60 + -5x + x2 Combine like terms: 60 + -60 = 0 -10x + 3x2 = 0 + -5x + x2 -10x + 3x2 = -5x + x2 Solving -10x + 3x2 = -5x + x2 Solving for variable 'x'. Reorder the terms: -10x + 5x + 3x2 + -1x2 = -5x + x2 + 5x + -1x2 Combine like terms: -10x + 5x = -5x -5x + 3x2 + -1x2 = -5x + x2 + 5x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 -5x + 2x2 = -5x + x2 + 5x + -1x2 Reorder the terms: -5x + 2x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -5x + 2x2 = 0 + x2 + -1x2 -5x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 2x) = 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 '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5Solution
x = {0, 2.5}
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