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Simplifying 6x2 + 10x = 17x Reorder the terms: 10x + 6x2 = 17x Solving 10x + 6x2 = 17x Solving for variable 'x'. Reorder the terms: 10x + -17x + 6x2 = 17x + -17x Combine like terms: 10x + -17x = -7x -7x + 6x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -7x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 6x) = 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 '(-7 + 6x)' equal to zero and attempt to solve: Simplifying -7 + 6x = 0 Solving -7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 0 + 7 6x = 0 + 7 Combine like terms: 0 + 7 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667Solution
x = {0, 1.166666667}
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