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Simplifying 7X4 + -63X3 + -70X2 = 0 Reorder the terms: -70X2 + -63X3 + 7X4 = 0 Solving -70X2 + -63X3 + 7X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '7X2'. 7X2(-10 + -9X + X2) = 0 Factor a trinomial. 7X2((-1 + -1X)(10 + -1X)) = 0 Ignore the factor 7.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 '(-1 + -1X)' equal to zero and attempt to solve: Simplifying -1 + -1X = 0 Solving -1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1X = 0 + 1 -1X = 0 + 1 Combine like terms: 0 + 1 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1Subproblem 3
Set the factor '(10 + -1X)' equal to zero and attempt to solve: Simplifying 10 + -1X = 0 Solving 10 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1X = 0 + -10 -1X = 0 + -10 Combine like terms: 0 + -10 = -10 -1X = -10 Divide each side by '-1'. X = 10 Simplifying X = 10Solution
X = {0, -1, 10}
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