0=(x^2+4x-12)(x-3)

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Solution for 0=(x^2+4x-12)(x-3) equation: 


Simplifying
0 = (x2 + 4x + -12)(x + -3)

Reorder the terms:
0 = (-12 + 4x + x2)(x + -3)

Reorder the terms:
0 = (-12 + 4x + x2)(-3 + x)

Multiply (-12 + 4x + x2) * (-3 + x)
0 = (-12(-3 + x) + 4x * (-3 + x) + x2(-3 + x))
0 = ((-3 * -12 + x * -12) + 4x * (-3 + x) + x2(-3 + x))
0 = ((36 + -12x) + 4x * (-3 + x) + x2(-3 + x))
0 = (36 + -12x + (-3 * 4x + x * 4x) + x2(-3 + x))
0 = (36 + -12x + (-12x + 4x2) + x2(-3 + x))
0 = (36 + -12x + -12x + 4x2 + (-3 * x2 + x * x2))
0 = (36 + -12x + -12x + 4x2 + (-3x2 + x3))

Combine like terms: -12x + -12x = -24x
0 = (36 + -24x + 4x2 + -3x2 + x3)

Combine like terms: 4x2 + -3x2 = 1x2
0 = (36 + -24x + 1x2 + x3)

Solving
0 = 36 + -24x + 1x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + -36 = -36
-36 + 24x + -1x2 + -1x3 = 36 + -24x + 1x2 + x3 + -36 + 24x + -1x2 + -1x3

Reorder the terms:
-36 + 24x + -1x2 + -1x3 = 36 + -36 + -24x + 24x + 1x2 + -1x2 + x3 + -1x3

Combine like terms: 36 + -36 = 0
-36 + 24x + -1x2 + -1x3 = 0 + -24x + 24x + 1x2 + -1x2 + x3 + -1x3
-36 + 24x + -1x2 + -1x3 = -24x + 24x + 1x2 + -1x2 + x3 + -1x3

Combine like terms: -24x + 24x = 0
-36 + 24x + -1x2 + -1x3 = 0 + 1x2 + -1x2 + x3 + -1x3
-36 + 24x + -1x2 + -1x3 = 1x2 + -1x2 + x3 + -1x3

Combine like terms: 1x2 + -1x2 = 0
-36 + 24x + -1x2 + -1x3 = 0 + x3 + -1x3
-36 + 24x + -1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36 + 24x + -1x2 + -1x3 = 0

The solution to this equation could not be determined.

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