(x+2)(x+2)4(x-3)=7x+12

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Solution for (x+2)(x+2)4(x-3)=7x+12 equation:


Simplifying
(x + 2)(x + 2) * 4(x + -3) = 7x + 12

Reorder the terms:
(2 + x)(x + 2) * 4(x + -3) = 7x + 12

Reorder the terms:
(2 + x)(2 + x) * 4(x + -3) = 7x + 12

Reorder the terms:
(2 + x)(2 + x) * 4(-3 + x) = 7x + 12

Reorder the terms for easier multiplication:
4(2 + x)(2 + x)(-3 + x) = 7x + 12

Multiply (2 + x) * (2 + x)
4(2(2 + x) + x(2 + x))(-3 + x) = 7x + 12
4((2 * 2 + x * 2) + x(2 + x))(-3 + x) = 7x + 12
4((4 + 2x) + x(2 + x))(-3 + x) = 7x + 12
4(4 + 2x + (2 * x + x * x))(-3 + x) = 7x + 12
4(4 + 2x + (2x + x2))(-3 + x) = 7x + 12

Combine like terms: 2x + 2x = 4x
4(4 + 4x + x2)(-3 + x) = 7x + 12

Multiply (4 + 4x + x2) * (-3 + x)
4(4(-3 + x) + 4x * (-3 + x) + x2(-3 + x)) = 7x + 12
4((-3 * 4 + x * 4) + 4x * (-3 + x) + x2(-3 + x)) = 7x + 12
4((-12 + 4x) + 4x * (-3 + x) + x2(-3 + x)) = 7x + 12
4(-12 + 4x + (-3 * 4x + x * 4x) + x2(-3 + x)) = 7x + 12
4(-12 + 4x + (-12x + 4x2) + x2(-3 + x)) = 7x + 12
4(-12 + 4x + -12x + 4x2 + (-3 * x2 + x * x2)) = 7x + 12
4(-12 + 4x + -12x + 4x2 + (-3x2 + x3)) = 7x + 12

Combine like terms: 4x + -12x = -8x
4(-12 + -8x + 4x2 + -3x2 + x3) = 7x + 12

Combine like terms: 4x2 + -3x2 = 1x2
4(-12 + -8x + 1x2 + x3) = 7x + 12
(-12 * 4 + -8x * 4 + 1x2 * 4 + x3 * 4) = 7x + 12
(-48 + -32x + 4x2 + 4x3) = 7x + 12

Reorder the terms:
-48 + -32x + 4x2 + 4x3 = 12 + 7x

Solving
-48 + -32x + 4x2 + 4x3 = 12 + 7x

Solving for variable 'x'.

Reorder the terms:
-48 + -12 + -32x + -7x + 4x2 + 4x3 = 12 + 7x + -12 + -7x

Combine like terms: -48 + -12 = -60
-60 + -32x + -7x + 4x2 + 4x3 = 12 + 7x + -12 + -7x

Combine like terms: -32x + -7x = -39x
-60 + -39x + 4x2 + 4x3 = 12 + 7x + -12 + -7x

Reorder the terms:
-60 + -39x + 4x2 + 4x3 = 12 + -12 + 7x + -7x

Combine like terms: 12 + -12 = 0
-60 + -39x + 4x2 + 4x3 = 0 + 7x + -7x
-60 + -39x + 4x2 + 4x3 = 7x + -7x

Combine like terms: 7x + -7x = 0
-60 + -39x + 4x2 + 4x3 = 0

The solution to this equation could not be determined.

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