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Simplifying (6x3 + 10x2) + -3x2 = 0 Reorder the terms: (10x2 + 6x3) + -3x2 = 0 Remove parenthesis around (10x2 + 6x3) 10x2 + 6x3 + -3x2 = 0 Reorder the terms: 10x2 + -3x2 + 6x3 = 0 Combine like terms: 10x2 + -3x2 = 7x2 7x2 + 6x3 = 0 Solving 7x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(7 + 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 '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Solution
x = {0, -1.166666667}
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