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Simplifying 0 = 2x2(-228x + 11319) Reorder the terms: 0 = 2x2(11319 + -228x) 0 = (11319 * 2x2 + -228x * 2x2) 0 = (22638x2 + -456x3) Solving 0 = 22638x2 + -456x3 Solving for variable 'x'. Remove the zero: -22638x2 + 456x3 = 22638x2 + -456x3 + -22638x2 + 456x3 Reorder the terms: -22638x2 + 456x3 = 22638x2 + -22638x2 + -456x3 + 456x3 Combine like terms: 22638x2 + -22638x2 = 0 -22638x2 + 456x3 = 0 + -456x3 + 456x3 -22638x2 + 456x3 = -456x3 + 456x3 Combine like terms: -456x3 + 456x3 = 0 -22638x2 + 456x3 = 0 Factor out the Greatest Common Factor (GCF), '6x2'. 6x2(-3773 + 76x) = 0 Ignore the factor 6.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 '(-3773 + 76x)' equal to zero and attempt to solve: Simplifying -3773 + 76x = 0 Solving -3773 + 76x = 0 Move all terms containing x to the left, all other terms to the right. Add '3773' to each side of the equation. -3773 + 3773 + 76x = 0 + 3773 Combine like terms: -3773 + 3773 = 0 0 + 76x = 0 + 3773 76x = 0 + 3773 Combine like terms: 0 + 3773 = 3773 76x = 3773 Divide each side by '76'. x = 49.64473684 Simplifying x = 49.64473684Solution
x = {0, 49.64473684}
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