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Simplifying (-8x + -7)(-7x + -3) = 0 Reorder the terms: (-7 + -8x)(-7x + -3) = 0 Reorder the terms: (-7 + -8x)(-3 + -7x) = 0 Multiply (-7 + -8x) * (-3 + -7x) (-7(-3 + -7x) + -8x * (-3 + -7x)) = 0 ((-3 * -7 + -7x * -7) + -8x * (-3 + -7x)) = 0 ((21 + 49x) + -8x * (-3 + -7x)) = 0 (21 + 49x + (-3 * -8x + -7x * -8x)) = 0 (21 + 49x + (24x + 56x2)) = 0 Combine like terms: 49x + 24x = 73x (21 + 73x + 56x2) = 0 Solving 21 + 73x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 8x)(3 + 7x) = 0Subproblem 1
Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-0.875, -0.4285714286}
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