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Simplifying 6x2 + 7x2 + -5x = 0 Reorder the terms: -5x + 6x2 + 7x2 = 0 Combine like terms: 6x2 + 7x2 = 13x2 -5x + 13x2 = 0 Solving -5x + 13x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + 13x)' equal to zero and attempt to solve: Simplifying -5 + 13x = 0 Solving -5 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 13x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 0 + 5 13x = 0 + 5 Combine like terms: 0 + 5 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846Solution
x = {0, 0.3846153846}
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