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Simplifying 3x2(7x2 + -9) = 0 Reorder the terms: 3x2(-9 + 7x2) = 0 (-9 * 3x2 + 7x2 * 3x2) = 0 (-27x2 + 21x4) = 0 Solving -27x2 + 21x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-9 + 7x2) = 0 Ignore the factor 3.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 '(-9 + 7x2)' equal to zero and attempt to solve: Simplifying -9 + 7x2 = 0 Solving -9 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7x2 = 0 + 9 7x2 = 0 + 9 Combine like terms: 0 + 9 = 9 7x2 = 9 Divide each side by '7'. x2 = 1.285714286 Simplifying x2 = 1.285714286 Take the square root of each side: x = {-1.133893419, 1.133893419}Solution
x = {0, -1.133893419, 1.133893419}
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