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Simplifying 2x + 30x2 = 15x + -5x2 Solving 2x + 30x2 = 15x + -5x2 Solving for variable 'x'. Reorder the terms: 2x + -15x + 30x2 + 5x2 = 15x + -5x2 + -15x + 5x2 Combine like terms: 2x + -15x = -13x -13x + 30x2 + 5x2 = 15x + -5x2 + -15x + 5x2 Combine like terms: 30x2 + 5x2 = 35x2 -13x + 35x2 = 15x + -5x2 + -15x + 5x2 Reorder the terms: -13x + 35x2 = 15x + -15x + -5x2 + 5x2 Combine like terms: 15x + -15x = 0 -13x + 35x2 = 0 + -5x2 + 5x2 -13x + 35x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -13x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 35x) = 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 + 35x)' equal to zero and attempt to solve: Simplifying -13 + 35x = 0 Solving -13 + 35x = 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 + 35x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 35x = 0 + 13 35x = 0 + 13 Combine like terms: 0 + 13 = 13 35x = 13 Divide each side by '35'. x = 0.3714285714 Simplifying x = 0.3714285714Solution
x = {0, 0.3714285714}
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