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

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


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

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

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

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

Combine like terms: -14x + 6x = -8x
(-12 + -8x + 7x2) = 0

Solving
-12 + -8x + 7x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-0.8571428571, 2}

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