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Simplifying 2X2(4X + -21) = 0 Reorder the terms: 2X2(-21 + 4X) = 0 (-21 * 2X2 + 4X * 2X2) = 0 (-42X2 + 8X3) = 0 Solving -42X2 + 8X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X2'. 2X2(-21 + 4X) = 0 Ignore the factor 2.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 '(-21 + 4X)' equal to zero and attempt to solve: Simplifying -21 + 4X = 0 Solving -21 + 4X = 0 Move all terms containing X to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4X = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 4X = 0 + 21 4X = 0 + 21 Combine like terms: 0 + 21 = 21 4X = 21 Divide each side by '4'. X = 5.25 Simplifying X = 5.25Solution
X = {0, 5.25}
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