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Simplifying (8x2 + -3x2) + -1(6x2 + -6x3) = 0 Combine like terms: 8x2 + -3x2 = 5x2 (5x2) + -1(6x2 + -6x3) = 0 (5x2) + -1(6x2 + -6x3) = 0 (5x2) + (6x2 * -1 + -6x3 * -1) = 0 (5x2) + (-6x2 + 6x3) = 0 Combine like terms: (5x2) + -6x2 = -1x2 -1x2 + 6x3 = 0 Solving -1x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1 + 6x) = 0Subproblem 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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