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Simplifying (3x3) + -1(2x2) = 0 Remove parenthesis around (2x2) (3x3) + -1 * 2x2 = 0 Multiply -1 * 2 (3x3) + -2x2 = 0 Reorder the terms: -2x2 + (3x3) = 0 Solving -2x2 + (3x3) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-2 + (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 '(-2 + (3x))' equal to zero and attempt to solve: Simplifying -2 + (3x) = 0 Solving -2 + (3x) = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + (3x) = 0 + 2 Combine like terms: -2 + 2 = 0 0 + (3x) = 0 + 2 (3x) = 0 + 2 Combine like terms: 0 + 2 = 2 (3x) = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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