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Simplifying x(x + 3) * 4 = 280 Reorder the terms: x(3 + x) * 4 = 280 Reorder the terms for easier multiplication: 4x(3 + x) = 280 (3 * 4x + x * 4x) = 280 (12x + 4x2) = 280 Solving 12x + 4x2 = 280 Solving for variable 'x'. Reorder the terms: -280 + 12x + 4x2 = 280 + -280 Combine like terms: 280 + -280 = 0 -280 + 12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-70 + 3x + x2) = 0 Factor a trinomial. 4((-10 + -1x)(7 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = -10Subproblem 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 = 7Solution
x = {-10, 7}
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