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Simplifying 9x3 + 7x2 = x2 + -1x3 Reorder the terms: 7x2 + 9x3 = x2 + -1x3 Solving 7x2 + 9x3 = x2 + -1x3 Solving for variable 'x'. Reorder the terms: 7x2 + -1x2 + 9x3 + x3 = x2 + -1x3 + -1x2 + x3 Combine like terms: 7x2 + -1x2 = 6x2 6x2 + 9x3 + x3 = x2 + -1x3 + -1x2 + x3 Combine like terms: 9x3 + x3 = 10x3 6x2 + 10x3 = x2 + -1x3 + -1x2 + x3 Reorder the terms: 6x2 + 10x3 = x2 + -1x2 + -1x3 + x3 Combine like terms: x2 + -1x2 = 0 6x2 + 10x3 = 0 + -1x3 + x3 6x2 + 10x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 6x2 + 10x3 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(3 + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {0, -0.6}
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