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Simplifying (8x2 + -5x3) + -1(3x2 + -8x3) = 0 Remove parenthesis around (8x2 + -5x3) 8x2 + -5x3 + -1(3x2 + -8x3) = 0 8x2 + -5x3 + (3x2 * -1 + -8x3 * -1) = 0 8x2 + -5x3 + (-3x2 + 8x3) = 0 Reorder the terms: 8x2 + -3x2 + -5x3 + 8x3 = 0 Combine like terms: 8x2 + -3x2 = 5x2 5x2 + -5x3 + 8x3 = 0 Combine like terms: -5x3 + 8x3 = 3x3 5x2 + 3x3 = 0 Solving 5x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(5 + 3x) = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {0, -1.666666667}
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