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Simplifying 3x2 + -9x = 7x + -7x2 Reorder the terms: -9x + 3x2 = 7x + -7x2 Solving -9x + 3x2 = 7x + -7x2 Solving for variable 'x'. Reorder the terms: -9x + -7x + 3x2 + 7x2 = 7x + -7x2 + -7x + 7x2 Combine like terms: -9x + -7x = -16x -16x + 3x2 + 7x2 = 7x + -7x2 + -7x + 7x2 Combine like terms: 3x2 + 7x2 = 10x2 -16x + 10x2 = 7x + -7x2 + -7x + 7x2 Reorder the terms: -16x + 10x2 = 7x + -7x + -7x2 + 7x2 Combine like terms: 7x + -7x = 0 -16x + 10x2 = 0 + -7x2 + 7x2 -16x + 10x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -16x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-8 + 5x) = 0 Ignore the factor 2.Subproblem 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 '(-8 + 5x)' equal to zero and attempt to solve: Simplifying -8 + 5x = 0 Solving -8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 0 + 8 5x = 0 + 8 Combine like terms: 0 + 8 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6Solution
x = {0, 1.6}
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