-3(2x+4)+4x^2+7x+1=(4x+1)(x-7)+28x-4

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Solution for -3(2x+4)+4x^2+7x+1=(4x+1)(x-7)+28x-4 equation: 


Simplifying
-3(2x + 4) + 4x2 + 7x + 1 = (4x + 1)(x + -7) + 28x + -4

Reorder the terms:
-3(4 + 2x) + 4x2 + 7x + 1 = (4x + 1)(x + -7) + 28x + -4
(4 * -3 + 2x * -3) + 4x2 + 7x + 1 = (4x + 1)(x + -7) + 28x + -4
(-12 + -6x) + 4x2 + 7x + 1 = (4x + 1)(x + -7) + 28x + -4

Reorder the terms:
-12 + 1 + -6x + 7x + 4x2 = (4x + 1)(x + -7) + 28x + -4

Combine like terms: -12 + 1 = -11
-11 + -6x + 7x + 4x2 = (4x + 1)(x + -7) + 28x + -4

Combine like terms: -6x + 7x = 1x
-11 + 1x + 4x2 = (4x + 1)(x + -7) + 28x + -4

Reorder the terms:
-11 + 1x + 4x2 = (1 + 4x)(x + -7) + 28x + -4

Reorder the terms:
-11 + 1x + 4x2 = (1 + 4x)(-7 + x) + 28x + -4

Multiply (1 + 4x) * (-7 + x)
-11 + 1x + 4x2 = (1(-7 + x) + 4x * (-7 + x)) + 28x + -4
-11 + 1x + 4x2 = ((-7 * 1 + x * 1) + 4x * (-7 + x)) + 28x + -4
-11 + 1x + 4x2 = ((-7 + 1x) + 4x * (-7 + x)) + 28x + -4
-11 + 1x + 4x2 = (-7 + 1x + (-7 * 4x + x * 4x)) + 28x + -4
-11 + 1x + 4x2 = (-7 + 1x + (-28x + 4x2)) + 28x + -4

Combine like terms: 1x + -28x = -27x
-11 + 1x + 4x2 = (-7 + -27x + 4x2) + 28x + -4

Reorder the terms:
-11 + 1x + 4x2 = -7 + -4 + -27x + 28x + 4x2

Combine like terms: -7 + -4 = -11
-11 + 1x + 4x2 = -11 + -27x + 28x + 4x2

Combine like terms: -27x + 28x = 1x
-11 + 1x + 4x2 = -11 + 1x + 4x2

Add '11' to each side of the equation.
-11 + 1x + 11 + 4x2 = -11 + 1x + 11 + 4x2

Reorder the terms:
-11 + 11 + 1x + 4x2 = -11 + 1x + 11 + 4x2

Combine like terms: -11 + 11 = 0
0 + 1x + 4x2 = -11 + 1x + 11 + 4x2
1x + 4x2 = -11 + 1x + 11 + 4x2

Reorder the terms:
1x + 4x2 = -11 + 11 + 1x + 4x2

Combine like terms: -11 + 11 = 0
1x + 4x2 = 0 + 1x + 4x2
1x + 4x2 = 1x + 4x2

Add '-1x' to each side of the equation.
1x + -1x + 4x2 = 1x + -1x + 4x2

Combine like terms: 1x + -1x = 0
0 + 4x2 = 1x + -1x + 4x2
4x2 = 1x + -1x + 4x2

Combine like terms: 1x + -1x = 0
4x2 = 0 + 4x2
4x2 = 4x2

Add '-4x2' to each side of the equation.
4x2 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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