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Simplifying 320 = (x + 2)(4)(x) Reorder the terms: 320 = (2 + x)(4)(x) Reorder the terms for easier multiplication: 320 = 4x(2 + x) 320 = (2 * 4x + x * 4x) 320 = (8x + 4x2) Solving 320 = 8x + 4x2 Solving for variable 'x'. Reorder the terms: 320 + -8x + -4x2 = 8x + -8x + 4x2 + -4x2 Combine like terms: 8x + -8x = 0 320 + -8x + -4x2 = 0 + 4x2 + -4x2 320 + -8x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 320 + -8x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(80 + -2x + -1x2) = 0 Factor a trinomial. 4((8 + -1x)(10 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {8, -10}
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