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Simplifying 3x2(4x2 + -7) = 0 Reorder the terms: 3x2(-7 + 4x2) = 0 (-7 * 3x2 + 4x2 * 3x2) = 0 (-21x2 + 12x4) = 0 Solving -21x2 + 12x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-7 + 4x2) = 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 '(-7 + 4x2)' equal to zero and attempt to solve: Simplifying -7 + 4x2 = 0 Solving -7 + 4x2 = 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 + 4x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x2 = 0 + 7 4x2 = 0 + 7 Combine like terms: 0 + 7 = 7 4x2 = 7 Divide each side by '4'. x2 = 1.75 Simplifying x2 = 1.75 Take the square root of each side: x = {-1.322875656, 1.322875656}Solution
x = {0, -1.322875656, 1.322875656}
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