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Simplifying (4x + 7)(6x + -7) = 0 Reorder the terms: (7 + 4x)(6x + -7) = 0 Reorder the terms: (7 + 4x)(-7 + 6x) = 0 Multiply (7 + 4x) * (-7 + 6x) (7(-7 + 6x) + 4x * (-7 + 6x)) = 0 ((-7 * 7 + 6x * 7) + 4x * (-7 + 6x)) = 0 ((-49 + 42x) + 4x * (-7 + 6x)) = 0 (-49 + 42x + (-7 * 4x + 6x * 4x)) = 0 (-49 + 42x + (-28x + 24x2)) = 0 Combine like terms: 42x + -28x = 14x (-49 + 14x + 24x2) = 0 Solving -49 + 14x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -4x)(7 + -6x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
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 = 1.166666667Solution
x = {-1.75, 1.166666667}
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