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Simplifying 8064 = (7x + -28) * x Reorder the terms: 8064 = (-28 + 7x) * x Reorder the terms for easier multiplication: 8064 = x(-28 + 7x) 8064 = (-28 * x + 7x * x) 8064 = (-28x + 7x2) Solving 8064 = -28x + 7x2 Solving for variable 'x'. Reorder the terms: 8064 + 28x + -7x2 = -28x + 28x + 7x2 + -7x2 Combine like terms: -28x + 28x = 0 8064 + 28x + -7x2 = 0 + 7x2 + -7x2 8064 + 28x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 8064 + 28x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(1152 + 4x + -1x2) = 0 Factor a trinomial. 7((36 + -1x)(32 + x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Subproblem 2
Set the factor '(32 + x)' equal to zero and attempt to solve: Simplifying 32 + x = 0 Solving 32 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + x = 0 + -32 x = 0 + -32 Combine like terms: 0 + -32 = -32 x = -32 Simplifying x = -32Solution
x = {36, -32}
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