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Simplifying 12x3 + 22x2y2 + 16x3 = 0 Reorder the terms: 22x2y2 + 12x3 + 16x3 = 0 Combine like terms: 12x3 + 16x3 = 28x3 22x2y2 + 28x3 = 0 Solving 22x2y2 + 28x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(11y2 + 14x) = 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 '(11y2 + 14x)' equal to zero and attempt to solve: Simplifying 11y2 + 14x = 0 Reorder the terms: 14x + 11y2 = 0 Solving 14x + 11y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11y2' to each side of the equation. 14x + 11y2 + -11y2 = 0 + -11y2 Combine like terms: 11y2 + -11y2 = 0 14x + 0 = 0 + -11y2 14x = 0 + -11y2 Remove the zero: 14x = -11y2 Divide each side by '14'. x = -0.7857142857y2 Simplifying x = -0.7857142857y2Solution
x = {0, -0.7857142857y2}
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