(3x+-1)(3x+-1)-25=-24

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Solution for (3x+-1)(3x+-1)-25=-24 equation: 


Simplifying
(3x + -1)(3x + -1) + -25 = -24

Reorder the terms:
(-1 + 3x)(3x + -1) + -25 = -24

Reorder the terms:
(-1 + 3x)(-1 + 3x) + -25 = -24

Multiply (-1 + 3x) * (-1 + 3x)
(-1(-1 + 3x) + 3x * (-1 + 3x)) + -25 = -24
((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) + -25 = -24
((1 + -3x) + 3x * (-1 + 3x)) + -25 = -24
(1 + -3x + (-1 * 3x + 3x * 3x)) + -25 = -24
(1 + -3x + (-3x + 9x2)) + -25 = -24

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) + -25 = -24

Reorder the terms:
1 + -25 + -6x + 9x2 = -24

Combine like terms: 1 + -25 = -24
-24 + -6x + 9x2 = -24

Add '24' to each side of the equation.
-24 + -6x + 24 + 9x2 = -24 + 24

Reorder the terms:
-24 + 24 + -6x + 9x2 = -24 + 24

Combine like terms: -24 + 24 = 0
0 + -6x + 9x2 = -24 + 24
-6x + 9x2 = -24 + 24

Combine like terms: -24 + 24 = 0
-6x + 9x2 = 0

Solving
-6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-2 + 3x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 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 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {0, 0.6666666667}

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