(7x-6)(2x+1)=0

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Solution for (7x-6)(2x+1)=0 equation:


Simplifying
(7x + -6)(2x + 1) = 0

Reorder the terms:
(-6 + 7x)(2x + 1) = 0

Reorder the terms:
(-6 + 7x)(1 + 2x) = 0

Multiply (-6 + 7x) * (1 + 2x)
(-6(1 + 2x) + 7x * (1 + 2x)) = 0
((1 * -6 + 2x * -6) + 7x * (1 + 2x)) = 0
((-6 + -12x) + 7x * (1 + 2x)) = 0
(-6 + -12x + (1 * 7x + 2x * 7x)) = 0
(-6 + -12x + (7x + 14x2)) = 0

Combine like terms: -12x + 7x = -5x
(-6 + -5x + 14x2) = 0

Solving
-6 + -5x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(6 + -7x) = 0

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571

Solution

x = {-0.5, 0.8571428571}

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