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Simplifying 3360 = (x)(2x + 4) Reorder the terms: 3360 = x(4 + 2x) 3360 = (4 * x + 2x * x) 3360 = (4x + 2x2) Solving 3360 = 4x + 2x2 Solving for variable 'x'. Reorder the terms: 3360 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 3360 + -4x + -2x2 = 0 + 2x2 + -2x2 3360 + -4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3360 + -4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1680 + -2x + -1x2) = 0 Factor a trinomial. 2((40 + -1x)(42 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(42 + x)' equal to zero and attempt to solve: Simplifying 42 + x = 0 Solving 42 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + x = 0 + -42 x = 0 + -42 Combine like terms: 0 + -42 = -42 x = -42 Simplifying x = -42Solution
x = {40, -42}
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