7(6x-7)=9x^2

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Solution for 7(6x-7)=9x^2 equation: 


Simplifying
7(6x + -7) = 9x2

Reorder the terms:
7(-7 + 6x) = 9x2
(-7 * 7 + 6x * 7) = 9x2
(-49 + 42x) = 9x2

Solving
-49 + 42x = 9x2

Solving for variable 'x'.

Combine like terms: 9x2 + -9x2 = 0
-49 + 42x + -9x2 = 0

Factor a trinomial.
(-7 + 3x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {2.333333333, 2.333333333}

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