(x-2)(x+3)=x^2

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Solution for (x-2)(x+3)=x^2 equation:


Simplifying
(x + -2)(x + 3) = x2

Reorder the terms:
(-2 + x)(x + 3) = x2

Reorder the terms:
(-2 + x)(3 + x) = x2

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x)) = x2
((3 * -2 + x * -2) + x(3 + x)) = x2
((-6 + -2x) + x(3 + x)) = x2
(-6 + -2x + (3 * x + x * x)) = x2
(-6 + -2x + (3x + x2)) = x2

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2) = x2

Add '-1x2' to each side of the equation.
-6 + 1x + x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 1x + 0 = x2 + -1x2
-6 + 1x = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 1x = 0

Solving
-6 + 1x = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 0 + 6
1x = 0 + 6

Combine like terms: 0 + 6 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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