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Simplifying (3x + 4)(2x + -7) = 0 Reorder the terms: (4 + 3x)(2x + -7) = 0 Reorder the terms: (4 + 3x)(-7 + 2x) = 0 Multiply (4 + 3x) * (-7 + 2x) (4(-7 + 2x) + 3x * (-7 + 2x)) = 0 ((-7 * 4 + 2x * 4) + 3x * (-7 + 2x)) = 0 ((-28 + 8x) + 3x * (-7 + 2x)) = 0 (-28 + 8x + (-7 * 3x + 2x * 3x)) = 0 (-28 + 8x + (-21x + 6x2)) = 0 Combine like terms: 8x + -21x = -13x (-28 + -13x + 6x2) = 0 Solving -28 + -13x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(7 + -2x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
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 = 3.5Solution
x = {-1.333333333, 3.5}
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