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Simplifying (540 + -1x2) + -1(x2 + 6x) = 0 Remove parenthesis around (540 + -1x2) 540 + -1x2 + -1(x2 + 6x) = 0 Reorder the terms: 540 + -1x2 + -1(6x + x2) = 0 540 + -1x2 + (6x * -1 + x2 * -1) = 0 540 + -1x2 + (-6x + -1x2) = 0 Reorder the terms: 540 + -6x + -1x2 + -1x2 = 0 Combine like terms: -1x2 + -1x2 = -2x2 540 + -6x + -2x2 = 0 Solving 540 + -6x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(270 + -3x + -1x2) = 0 Factor a trinomial. 2((15 + -1x)(18 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Solution
x = {15, -18}
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