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Simplifying 360 = (x + -2)(x + 3)(10) Reorder the terms: 360 = (-2 + x)(x + 3)(10) Reorder the terms: 360 = (-2 + x)(3 + x)(10) Reorder the terms for easier multiplication: 360 = 10(-2 + x)(3 + x) Multiply (-2 + x) * (3 + x) 360 = 10(-2(3 + x) + x(3 + x)) 360 = 10((3 * -2 + x * -2) + x(3 + x)) 360 = 10((-6 + -2x) + x(3 + x)) 360 = 10(-6 + -2x + (3 * x + x * x)) 360 = 10(-6 + -2x + (3x + x2)) Combine like terms: -2x + 3x = 1x 360 = 10(-6 + 1x + x2) 360 = (-6 * 10 + 1x * 10 + x2 * 10) 360 = (-60 + 10x + 10x2) Solving 360 = -60 + 10x + 10x2 Solving for variable 'x'. Combine like terms: 360 + 60 = 420 420 + -10x + -10x2 = -60 + 10x + 10x2 + 60 + -10x + -10x2 Reorder the terms: 420 + -10x + -10x2 = -60 + 60 + 10x + -10x + 10x2 + -10x2 Combine like terms: -60 + 60 = 0 420 + -10x + -10x2 = 0 + 10x + -10x + 10x2 + -10x2 420 + -10x + -10x2 = 10x + -10x + 10x2 + -10x2 Combine like terms: 10x + -10x = 0 420 + -10x + -10x2 = 0 + 10x2 + -10x2 420 + -10x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 420 + -10x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(42 + -1x + -1x2) = 0 Factor a trinomial. 10((6 + -1x)(7 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {6, -7}
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