6x(7x-6)-6=0

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


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

Reorder the terms:
6x(-6 + 7x) + -6 = 0
(-6 * 6x + 7x * 6x) + -6 = 0
(-36x + 42x2) + -6 = 0

Reorder the terms:
-6 + -36x + 42x2 = 0

Solving
-6 + -36x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + -6x + 7x2) = 0

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

Ignore the factor 6.

Subproblem 1

Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429

Subproblem 2

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

Solution

x = {-0.1428571429, 1}

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