18x^2-3x-36=3(2x-3)(3x+4)

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Solution for 18x^2-3x-36=3(2x-3)(3x+4) equation:


Simplifying
18x2 + -3x + -36 = 3(2x + -3)(3x + 4)

Reorder the terms:
-36 + -3x + 18x2 = 3(2x + -3)(3x + 4)

Reorder the terms:
-36 + -3x + 18x2 = 3(-3 + 2x)(3x + 4)

Reorder the terms:
-36 + -3x + 18x2 = 3(-3 + 2x)(4 + 3x)

Multiply (-3 + 2x) * (4 + 3x)
-36 + -3x + 18x2 = 3(-3(4 + 3x) + 2x * (4 + 3x))
-36 + -3x + 18x2 = 3((4 * -3 + 3x * -3) + 2x * (4 + 3x))
-36 + -3x + 18x2 = 3((-12 + -9x) + 2x * (4 + 3x))
-36 + -3x + 18x2 = 3(-12 + -9x + (4 * 2x + 3x * 2x))
-36 + -3x + 18x2 = 3(-12 + -9x + (8x + 6x2))

Combine like terms: -9x + 8x = -1x
-36 + -3x + 18x2 = 3(-12 + -1x + 6x2)
-36 + -3x + 18x2 = (-12 * 3 + -1x * 3 + 6x2 * 3)
-36 + -3x + 18x2 = (-36 + -3x + 18x2)

Add '36' to each side of the equation.
-36 + -3x + 36 + 18x2 = -36 + -3x + 36 + 18x2

Reorder the terms:
-36 + 36 + -3x + 18x2 = -36 + -3x + 36 + 18x2

Combine like terms: -36 + 36 = 0
0 + -3x + 18x2 = -36 + -3x + 36 + 18x2
-3x + 18x2 = -36 + -3x + 36 + 18x2

Reorder the terms:
-3x + 18x2 = -36 + 36 + -3x + 18x2

Combine like terms: -36 + 36 = 0
-3x + 18x2 = 0 + -3x + 18x2
-3x + 18x2 = -3x + 18x2

Add '3x' to each side of the equation.
-3x + 3x + 18x2 = -3x + 3x + 18x2

Combine like terms: -3x + 3x = 0
0 + 18x2 = -3x + 3x + 18x2
18x2 = -3x + 3x + 18x2

Combine like terms: -3x + 3x = 0
18x2 = 0 + 18x2
18x2 = 18x2

Add '-18x2' to each side of the equation.
18x2 + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
0 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 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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