4x^2-12x+9-(3x^2-2)=x^2-25

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Solution for 4x^2-12x+9-(3x^2-2)=x^2-25 equation: 


Simplifying
4x2 + -12x + 9 + -1(3x2 + -2) = x2 + -25

Reorder the terms:
4x2 + -12x + 9 + -1(-2 + 3x2) = x2 + -25
4x2 + -12x + 9 + (-2 * -1 + 3x2 * -1) = x2 + -25
4x2 + -12x + 9 + (2 + -3x2) = x2 + -25

Reorder the terms:
9 + 2 + -12x + 4x2 + -3x2 = x2 + -25

Combine like terms: 9 + 2 = 11
11 + -12x + 4x2 + -3x2 = x2 + -25

Combine like terms: 4x2 + -3x2 = 1x2
11 + -12x + 1x2 = x2 + -25

Reorder the terms:
11 + -12x + 1x2 = -25 + x2

Solving
11 + -12x + 1x2 = -25 + x2

Solving for variable 'x'.

Reorder the terms:
11 + 25 + -12x + 1x2 + -1x2 = -25 + x2 + 25 + -1x2

Combine like terms: 11 + 25 = 36
36 + -12x + 1x2 + -1x2 = -25 + x2 + 25 + -1x2

Combine like terms: 1x2 + -1x2 = 0
36 + -12x + 0 = -25 + x2 + 25 + -1x2
36 + -12x = -25 + x2 + 25 + -1x2

Reorder the terms:
36 + -12x = -25 + 25 + x2 + -1x2

Combine like terms: -25 + 25 = 0
36 + -12x = 0 + x2 + -1x2
36 + -12x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + -12x = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(3 + -1x) = 0

Ignore the factor 12.

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {3}

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