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Simplifying 14x2 + -15x = x2 Reorder the terms: -15x + 14x2 = x2 Solving -15x + 14x2 = x2 Solving for variable 'x'. Combine like terms: 14x2 + -1x2 = 13x2 -15x + 13x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15x + 13x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + 13x) = 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 '(-15 + 13x)' equal to zero and attempt to solve: Simplifying -15 + 13x = 0 Solving -15 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 0 + 15 13x = 0 + 15 Combine like terms: 0 + 15 = 15 13x = 15 Divide each side by '13'. x = 1.153846154 Simplifying x = 1.153846154Solution
x = {0, 1.153846154}
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