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Simplifying 6x2 + 10x + -7 = -7x + -7 Reorder the terms: -7 + 10x + 6x2 = -7x + -7 Reorder the terms: -7 + 10x + 6x2 = -7 + -7x Add '7' to each side of the equation. -7 + 10x + 7 + 6x2 = -7 + 7 + -7x Reorder the terms: -7 + 7 + 10x + 6x2 = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 0 + 10x + 6x2 = -7 + 7 + -7x 10x + 6x2 = -7 + 7 + -7x Combine like terms: -7 + 7 = 0 10x + 6x2 = 0 + -7x 10x + 6x2 = -7x Solving 10x + 6x2 = -7x Solving for variable 'x'. Reorder the terms: 10x + 7x + 6x2 = -7x + 7x Combine like terms: 10x + 7x = 17x 17x + 6x2 = -7x + 7x Combine like terms: -7x + 7x = 0 17x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(17 + 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 '(17 + 6x)' equal to zero and attempt to solve: Simplifying 17 + 6x = 0 Solving 17 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 6x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 0 + -17 6x = 0 + -17 Combine like terms: 0 + -17 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333Solution
x = {0, -2.833333333}
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