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Simplifying (2x + -7)(x + -6) = 0 Reorder the terms: (-7 + 2x)(x + -6) = 0 Reorder the terms: (-7 + 2x)(-6 + x) = 0 Multiply (-7 + 2x) * (-6 + x) (-7(-6 + x) + 2x * (-6 + x)) = 0 ((-6 * -7 + x * -7) + 2x * (-6 + x)) = 0 ((42 + -7x) + 2x * (-6 + x)) = 0 (42 + -7x + (-6 * 2x + x * 2x)) = 0 (42 + -7x + (-12x + 2x2)) = 0 Combine like terms: -7x + -12x = -19x (42 + -19x + 2x2) = 0 Solving 42 + -19x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -2x)(6 + -1x) = 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 '(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 = {3.5, 6}
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