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Simplifying 2x2 + -5x3 + -7x2 + -7x3 = 0 Reorder the terms: 2x2 + -7x2 + -5x3 + -7x3 = 0 Combine like terms: 2x2 + -7x2 = -5x2 -5x2 + -5x3 + -7x3 = 0 Combine like terms: -5x3 + -7x3 = -12x3 -5x2 + -12x3 = 0 Solving -5x2 + -12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(5 + 12x) = 0 Ignore the factor -1.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 '(5 + 12x)' equal to zero and attempt to solve: Simplifying 5 + 12x = 0 Solving 5 + 12x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 0 + -5 12x = 0 + -5 Combine like terms: 0 + -5 = -5 12x = -5 Divide each side by '12'. x = -0.4166666667 Simplifying x = -0.4166666667Solution
x = {0, -0.4166666667}
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