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Simplifying (6x + -7)(10x + 7) = 0 Reorder the terms: (-7 + 6x)(10x + 7) = 0 Reorder the terms: (-7 + 6x)(7 + 10x) = 0 Multiply (-7 + 6x) * (7 + 10x) (-7(7 + 10x) + 6x * (7 + 10x)) = 0 ((7 * -7 + 10x * -7) + 6x * (7 + 10x)) = 0 ((-49 + -70x) + 6x * (7 + 10x)) = 0 (-49 + -70x + (7 * 6x + 10x * 6x)) = 0 (-49 + -70x + (42x + 60x2)) = 0 Combine like terms: -70x + 42x = -28x (-49 + -28x + 60x2) = 0 Solving -49 + -28x + 60x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -10x)(7 + -6x) = 0Subproblem 1
Set the factor '(-7 + -10x)' equal to zero and attempt to solve: Simplifying -7 + -10x = 0 Solving -7 + -10x = 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 + -10x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 0 + 7 -10x = 0 + 7 Combine like terms: 0 + 7 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7Subproblem 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 = {-0.7, 1.166666667}
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