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Simplifying -1(2x + -3)(5x + 7) = 0 Reorder the terms: -1(-3 + 2x)(5x + 7) = 0 Reorder the terms: -1(-3 + 2x)(7 + 5x) = 0 Multiply (-3 + 2x) * (7 + 5x) -1(-3(7 + 5x) + 2x * (7 + 5x)) = 0 -1((7 * -3 + 5x * -3) + 2x * (7 + 5x)) = 0 -1((-21 + -15x) + 2x * (7 + 5x)) = 0 -1(-21 + -15x + (7 * 2x + 5x * 2x)) = 0 -1(-21 + -15x + (14x + 10x2)) = 0 Combine like terms: -15x + 14x = -1x -1(-21 + -1x + 10x2) = 0 (-21 * -1 + -1x * -1 + 10x2 * -1) = 0 (21 + 1x + -10x2) = 0 Solving 21 + 1x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(7 + 5x) = 0Subproblem 1
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 = 1.5Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 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 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4Solution
x = {1.5, -1.4}
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