(4x-1)(6x+5)-(8x-1)(3x+5)=-23x

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Solution for (4x-1)(6x+5)-(8x-1)(3x+5)=-23x equation: 


Simplifying
(4x + -1)(6x + 5) + -1(8x + -1)(3x + 5) = -23x

Reorder the terms:
(-1 + 4x)(6x + 5) + -1(8x + -1)(3x + 5) = -23x

Reorder the terms:
(-1 + 4x)(5 + 6x) + -1(8x + -1)(3x + 5) = -23x

Multiply (-1 + 4x) * (5 + 6x)
(-1(5 + 6x) + 4x * (5 + 6x)) + -1(8x + -1)(3x + 5) = -23x
((5 * -1 + 6x * -1) + 4x * (5 + 6x)) + -1(8x + -1)(3x + 5) = -23x
((-5 + -6x) + 4x * (5 + 6x)) + -1(8x + -1)(3x + 5) = -23x
(-5 + -6x + (5 * 4x + 6x * 4x)) + -1(8x + -1)(3x + 5) = -23x
(-5 + -6x + (20x + 24x2)) + -1(8x + -1)(3x + 5) = -23x

Combine like terms: -6x + 20x = 14x
(-5 + 14x + 24x2) + -1(8x + -1)(3x + 5) = -23x

Reorder the terms:
-5 + 14x + 24x2 + -1(-1 + 8x)(3x + 5) = -23x

Reorder the terms:
-5 + 14x + 24x2 + -1(-1 + 8x)(5 + 3x) = -23x

Multiply (-1 + 8x) * (5 + 3x)
-5 + 14x + 24x2 + -1(-1(5 + 3x) + 8x * (5 + 3x)) = -23x
-5 + 14x + 24x2 + -1((5 * -1 + 3x * -1) + 8x * (5 + 3x)) = -23x
-5 + 14x + 24x2 + -1((-5 + -3x) + 8x * (5 + 3x)) = -23x
-5 + 14x + 24x2 + -1(-5 + -3x + (5 * 8x + 3x * 8x)) = -23x
-5 + 14x + 24x2 + -1(-5 + -3x + (40x + 24x2)) = -23x

Combine like terms: -3x + 40x = 37x
-5 + 14x + 24x2 + -1(-5 + 37x + 24x2) = -23x
-5 + 14x + 24x2 + (-5 * -1 + 37x * -1 + 24x2 * -1) = -23x
-5 + 14x + 24x2 + (5 + -37x + -24x2) = -23x

Reorder the terms:
-5 + 5 + 14x + -37x + 24x2 + -24x2 = -23x

Combine like terms: -5 + 5 = 0
0 + 14x + -37x + 24x2 + -24x2 = -23x
14x + -37x + 24x2 + -24x2 = -23x

Combine like terms: 14x + -37x = -23x
-23x + 24x2 + -24x2 = -23x

Combine like terms: 24x2 + -24x2 = 0
-23x + 0 = -23x
-23x = -23x

Add '23x' to each side of the equation.
-23x + 23x = -23x + 23x

Combine like terms: -23x + 23x = 0
0 = -23x + 23x

Combine like terms: -23x + 23x = 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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