7x(6x-1)+x=36

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Solution for 7x(6x-1)+x=36 equation:


Simplifying
7x(6x + -1) + x = 36

Reorder the terms:
7x(-1 + 6x) + x = 36
(-1 * 7x + 6x * 7x) + x = 36
(-7x + 42x2) + x = 36

Reorder the terms:
-7x + x + 42x2 = 36

Combine like terms: -7x + x = -6x
-6x + 42x2 = 36

Solving
-6x + 42x2 = 36

Solving for variable 'x'.

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

Combine like terms: 36 + -36 = 0
-36 + -6x + 42x2 = 0

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

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

Ignore the factor 6.

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 '(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 = {-0.8571428571, 1}

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