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Simplifying 5x2 + 10x + -7 = -6x + -7 Reorder the terms: -7 + 10x + 5x2 = -6x + -7 Reorder the terms: -7 + 10x + 5x2 = -7 + -6x Add '7' to each side of the equation. -7 + 10x + 7 + 5x2 = -7 + 7 + -6x Reorder the terms: -7 + 7 + 10x + 5x2 = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 0 + 10x + 5x2 = -7 + 7 + -6x 10x + 5x2 = -7 + 7 + -6x Combine like terms: -7 + 7 = 0 10x + 5x2 = 0 + -6x 10x + 5x2 = -6x Solving 10x + 5x2 = -6x Solving for variable 'x'. Reorder the terms: 10x + 6x + 5x2 = -6x + 6x Combine like terms: 10x + 6x = 16x 16x + 5x2 = -6x + 6x Combine like terms: -6x + 6x = 0 16x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(16 + 5x) = 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 '(16 + 5x)' equal to zero and attempt to solve: Simplifying 16 + 5x = 0 Solving 16 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 0 + -16 5x = 0 + -16 Combine like terms: 0 + -16 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2Solution
x = {0, -3.2}
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