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Simplifying 40x2 + -13x = 3x2 + 34x2 Reorder the terms: -13x + 40x2 = 3x2 + 34x2 Combine like terms: 3x2 + 34x2 = 37x2 -13x + 40x2 = 37x2 Solving -13x + 40x2 = 37x2 Solving for variable 'x'. Combine like terms: 40x2 + -37x2 = 3x2 -13x + 3x2 = 37x2 + -37x2 Combine like terms: 37x2 + -37x2 = 0 -13x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 3x) = 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 '(-13 + 3x)' equal to zero and attempt to solve: Simplifying -13 + 3x = 0 Solving -13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333Solution
x = {0, 4.333333333}
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