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Simplifying 7x2(9x2 + -6) = 0 Reorder the terms: 7x2(-6 + 9x2) = 0 (-6 * 7x2 + 9x2 * 7x2) = 0 (-42x2 + 63x4) = 0 Solving -42x2 + 63x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '21x2'. 21x2(-2 + 3x2) = 0 Ignore the factor 21.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 '(-2 + 3x2)' equal to zero and attempt to solve: Simplifying -2 + 3x2 = 0 Solving -2 + 3x2 = 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 + 3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x2 = 0 + 2 3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 3x2 = 2 Divide each side by '3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}Solution
x = {0, -0.816496581, 0.816496581}
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