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Simplifying x2 + 3x = 40x Reorder the terms: 3x + x2 = 40x Solving 3x + x2 = 40x Solving for variable 'x'. Reorder the terms: 3x + -40x + x2 = 40x + -40x Combine like terms: 3x + -40x = -37x -37x + x2 = 40x + -40x Combine like terms: 40x + -40x = 0 -37x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-37 + 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 '(-37 + x)' equal to zero and attempt to solve: Simplifying -37 + x = 0 Solving -37 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + x = 0 + 37 x = 0 + 37 Combine like terms: 0 + 37 = 37 x = 37 Simplifying x = 37Solution
x = {0, 37}
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