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Simplifying (6x + 7)(3x + -5) = 0 Reorder the terms: (7 + 6x)(3x + -5) = 0 Reorder the terms: (7 + 6x)(-5 + 3x) = 0 Multiply (7 + 6x) * (-5 + 3x) (7(-5 + 3x) + 6x * (-5 + 3x)) = 0 ((-5 * 7 + 3x * 7) + 6x * (-5 + 3x)) = 0 ((-35 + 21x) + 6x * (-5 + 3x)) = 0 (-35 + 21x + (-5 * 6x + 3x * 6x)) = 0 (-35 + 21x + (-30x + 18x2)) = 0 Combine like terms: 21x + -30x = -9x (-35 + -9x + 18x2) = 0 Solving -35 + -9x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -6x)(5 + -3x) = 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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-1.166666667, 1.666666667}
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