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Simplifying -1(2x + -7)(2x + 3) = 0 Reorder the terms: -1(-7 + 2x)(2x + 3) = 0 Reorder the terms: -1(-7 + 2x)(3 + 2x) = 0 Multiply (-7 + 2x) * (3 + 2x) -1(-7(3 + 2x) + 2x * (3 + 2x)) = 0 -1((3 * -7 + 2x * -7) + 2x * (3 + 2x)) = 0 -1((-21 + -14x) + 2x * (3 + 2x)) = 0 -1(-21 + -14x + (3 * 2x + 2x * 2x)) = 0 -1(-21 + -14x + (6x + 4x2)) = 0 Combine like terms: -14x + 6x = -8x -1(-21 + -8x + 4x2) = 0 (-21 * -1 + -8x * -1 + 4x2 * -1) = 0 (21 + 8x + -4x2) = 0 Solving 21 + 8x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -2x)(3 + 2x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {3.5, -1.5}
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