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Simplifying 8X2 + -5X3 + -6X2 + -7X3 = 0 Reorder the terms: 8X2 + -6X2 + -5X3 + -7X3 = 0 Combine like terms: 8X2 + -6X2 = 2X2 2X2 + -5X3 + -7X3 = 0 Combine like terms: -5X3 + -7X3 = -12X3 2X2 + -12X3 = 0 Solving 2X2 + -12X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X2'. 2X2(1 + -6X) = 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 '(1 + -6X)' equal to zero and attempt to solve: Simplifying 1 + -6X = 0 Solving 1 + -6X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6X = 0 + -1 -6X = 0 + -1 Combine like terms: 0 + -1 = -1 -6X = -1 Divide each side by '-6'. X = 0.1666666667 Simplifying X = 0.1666666667Solution
X = {0, 0.1666666667}
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