(7x-5)(8x+1)=0

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Solution for (7x-5)(8x+1)=0 equation:


Simplifying
(7x + -5)(8x + 1) = 0

Reorder the terms:
(-5 + 7x)(8x + 1) = 0

Reorder the terms:
(-5 + 7x)(1 + 8x) = 0

Multiply (-5 + 7x) * (1 + 8x)
(-5(1 + 8x) + 7x * (1 + 8x)) = 0
((1 * -5 + 8x * -5) + 7x * (1 + 8x)) = 0
((-5 + -40x) + 7x * (1 + 8x)) = 0
(-5 + -40x + (1 * 7x + 8x * 7x)) = 0
(-5 + -40x + (7x + 56x2)) = 0

Combine like terms: -40x + 7x = -33x
(-5 + -33x + 56x2) = 0

Solving
-5 + -33x + 56x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -8x)(5 + -7x) = 0

Subproblem 1

Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125

Subproblem 2

Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143

Solution

x = {-0.125, 0.7142857143}

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