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Simplifying 400x4 = -1600x3 + 8400x2 Reorder the terms: 400x4 = 8400x2 + -1600x3 Solving 400x4 = 8400x2 + -1600x3 Solving for variable 'x'. Reorder the terms: -8400x2 + 1600x3 + 400x4 = 8400x2 + -1600x3 + -8400x2 + 1600x3 Reorder the terms: -8400x2 + 1600x3 + 400x4 = 8400x2 + -8400x2 + -1600x3 + 1600x3 Combine like terms: 8400x2 + -8400x2 = 0 -8400x2 + 1600x3 + 400x4 = 0 + -1600x3 + 1600x3 -8400x2 + 1600x3 + 400x4 = -1600x3 + 1600x3 Combine like terms: -1600x3 + 1600x3 = 0 -8400x2 + 1600x3 + 400x4 = 0 Factor out the Greatest Common Factor (GCF), '400x2'. 400x2(-21 + 4x + x2) = 0 Factor a trinomial. 400x2((-7 + -1x)(3 + -1x)) = 0 Ignore the factor 400.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 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -7, 3}
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