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Simplifying 7x2 + -26x2 + 15x = 0 Reorder the terms: 15x + 7x2 + -26x2 = 0 Combine like terms: 7x2 + -26x2 = -19x2 15x + -19x2 = 0 Solving 15x + -19x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(15 + -19x) = 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 + -19x)' equal to zero and attempt to solve: Simplifying 15 + -19x = 0 Solving 15 + -19x = 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 + -19x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -19x = 0 + -15 -19x = 0 + -15 Combine like terms: 0 + -15 = -15 -19x = -15 Divide each side by '-19'. x = 0.7894736842 Simplifying x = 0.7894736842Solution
x = {0, 0.7894736842}
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