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Simplifying (40 + -2x)(28 + -2x) = 805 Multiply (40 + -2x) * (28 + -2x) (40(28 + -2x) + -2x * (28 + -2x)) = 805 ((28 * 40 + -2x * 40) + -2x * (28 + -2x)) = 805 ((1120 + -80x) + -2x * (28 + -2x)) = 805 (1120 + -80x + (28 * -2x + -2x * -2x)) = 805 (1120 + -80x + (-56x + 4x2)) = 805 Combine like terms: -80x + -56x = -136x (1120 + -136x + 4x2) = 805 Solving 1120 + -136x + 4x2 = 805 Solving for variable 'x'. Reorder the terms: 1120 + -805 + -136x + 4x2 = 805 + -805 Combine like terms: 1120 + -805 = 315 315 + -136x + 4x2 = 805 + -805 Combine like terms: 805 + -805 = 0 315 + -136x + 4x2 = 0 Factor a trinomial. (5 + -2x)(63 + -2x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(63 + -2x)' equal to zero and attempt to solve: Simplifying 63 + -2x = 0 Solving 63 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -2x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -2x = 0 + -63 -2x = 0 + -63 Combine like terms: 0 + -63 = -63 -2x = -63 Divide each side by '-2'. x = 31.5 Simplifying x = 31.5Solution
x = {2.5, 31.5}
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