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Simplifying (2x + -3)(6x + 7) = 0 Reorder the terms: (-3 + 2x)(6x + 7) = 0 Reorder the terms: (-3 + 2x)(7 + 6x) = 0 Multiply (-3 + 2x) * (7 + 6x) (-3(7 + 6x) + 2x * (7 + 6x)) = 0 ((7 * -3 + 6x * -3) + 2x * (7 + 6x)) = 0 ((-21 + -18x) + 2x * (7 + 6x)) = 0 (-21 + -18x + (7 * 2x + 6x * 2x)) = 0 (-21 + -18x + (14x + 12x2)) = 0 Combine like terms: -18x + 14x = -4x (-21 + -4x + 12x2) = 0 Solving -21 + -4x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(3 + -2x) = 0Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 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 = {-1.166666667, 1.5}
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