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Simplifying 2x2 + 24x2 = 136x + -2x2 Combine like terms: 2x2 + 24x2 = 26x2 26x2 = 136x + -2x2 Solving 26x2 = 136x + -2x2 Solving for variable 'x'. Reorder the terms: -136x + 26x2 + 2x2 = 136x + -2x2 + -136x + 2x2 Combine like terms: 26x2 + 2x2 = 28x2 -136x + 28x2 = 136x + -2x2 + -136x + 2x2 Reorder the terms: -136x + 28x2 = 136x + -136x + -2x2 + 2x2 Combine like terms: 136x + -136x = 0 -136x + 28x2 = 0 + -2x2 + 2x2 -136x + 28x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -136x + 28x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-34 + 7x) = 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 '(-34 + 7x)' equal to zero and attempt to solve: Simplifying -34 + 7x = 0 Solving -34 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 7x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 7x = 0 + 34 7x = 0 + 34 Combine like terms: 0 + 34 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857Solution
x = {0, 4.857142857}
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