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Simplifying (2x)(2x) = (x + 10)(2x + -3) Remove parenthesis around (2x) 2x(2x) = (x + 10)(2x + -3) Remove parenthesis around (2x) 2x * 2x = (x + 10)(2x + -3) Reorder the terms for easier multiplication: 2 * 2x * x = (x + 10)(2x + -3) Multiply 2 * 2 4x * x = (x + 10)(2x + -3) Multiply x * x 4x2 = (x + 10)(2x + -3) Reorder the terms: 4x2 = (10 + x)(2x + -3) Reorder the terms: 4x2 = (10 + x)(-3 + 2x) Multiply (10 + x) * (-3 + 2x) 4x2 = (10(-3 + 2x) + x(-3 + 2x)) 4x2 = ((-3 * 10 + 2x * 10) + x(-3 + 2x)) 4x2 = ((-30 + 20x) + x(-3 + 2x)) 4x2 = (-30 + 20x + (-3 * x + 2x * x)) 4x2 = (-30 + 20x + (-3x + 2x2)) Combine like terms: 20x + -3x = 17x 4x2 = (-30 + 17x + 2x2) Solving 4x2 = -30 + 17x + 2x2 Solving for variable 'x'. Reorder the terms: 30 + -17x + 4x2 + -2x2 = -30 + 17x + 2x2 + 30 + -17x + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 30 + -17x + 2x2 = -30 + 17x + 2x2 + 30 + -17x + -2x2 Reorder the terms: 30 + -17x + 2x2 = -30 + 30 + 17x + -17x + 2x2 + -2x2 Combine like terms: -30 + 30 = 0 30 + -17x + 2x2 = 0 + 17x + -17x + 2x2 + -2x2 30 + -17x + 2x2 = 17x + -17x + 2x2 + -2x2 Combine like terms: 17x + -17x = 0 30 + -17x + 2x2 = 0 + 2x2 + -2x2 30 + -17x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 30 + -17x + 2x2 = 0 Factor a trinomial. (5 + -2x)(6 + -1x) = 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 '(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 = 6Solution
x = {2.5, 6}
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