-6(3x+4)+4x(x+2)=2(x-4)(2x+3)

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Solution for -6(3x+4)+4x(x+2)=2(x-4)(2x+3) equation: 


Simplifying
-6(3x + 4) + 4x(x + 2) = 2(x + -4)(2x + 3)

Reorder the terms:
-6(4 + 3x) + 4x(x + 2) = 2(x + -4)(2x + 3)
(4 * -6 + 3x * -6) + 4x(x + 2) = 2(x + -4)(2x + 3)
(-24 + -18x) + 4x(x + 2) = 2(x + -4)(2x + 3)

Reorder the terms:
-24 + -18x + 4x(2 + x) = 2(x + -4)(2x + 3)
-24 + -18x + (2 * 4x + x * 4x) = 2(x + -4)(2x + 3)
-24 + -18x + (8x + 4x2) = 2(x + -4)(2x + 3)

Combine like terms: -18x + 8x = -10x
-24 + -10x + 4x2 = 2(x + -4)(2x + 3)

Reorder the terms:
-24 + -10x + 4x2 = 2(-4 + x)(2x + 3)

Reorder the terms:
-24 + -10x + 4x2 = 2(-4 + x)(3 + 2x)

Multiply (-4 + x) * (3 + 2x)
-24 + -10x + 4x2 = 2(-4(3 + 2x) + x(3 + 2x))
-24 + -10x + 4x2 = 2((3 * -4 + 2x * -4) + x(3 + 2x))
-24 + -10x + 4x2 = 2((-12 + -8x) + x(3 + 2x))
-24 + -10x + 4x2 = 2(-12 + -8x + (3 * x + 2x * x))
-24 + -10x + 4x2 = 2(-12 + -8x + (3x + 2x2))

Combine like terms: -8x + 3x = -5x
-24 + -10x + 4x2 = 2(-12 + -5x + 2x2)
-24 + -10x + 4x2 = (-12 * 2 + -5x * 2 + 2x2 * 2)
-24 + -10x + 4x2 = (-24 + -10x + 4x2)

Add '24' to each side of the equation.
-24 + -10x + 24 + 4x2 = -24 + -10x + 24 + 4x2

Reorder the terms:
-24 + 24 + -10x + 4x2 = -24 + -10x + 24 + 4x2

Combine like terms: -24 + 24 = 0
0 + -10x + 4x2 = -24 + -10x + 24 + 4x2
-10x + 4x2 = -24 + -10x + 24 + 4x2

Reorder the terms:
-10x + 4x2 = -24 + 24 + -10x + 4x2

Combine like terms: -24 + 24 = 0
-10x + 4x2 = 0 + -10x + 4x2
-10x + 4x2 = -10x + 4x2

Add '10x' to each side of the equation.
-10x + 10x + 4x2 = -10x + 10x + 4x2

Combine like terms: -10x + 10x = 0
0 + 4x2 = -10x + 10x + 4x2
4x2 = -10x + 10x + 4x2

Combine like terms: -10x + 10x = 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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