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

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


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

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

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

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

Multiply (-3 + x) * (4 + x)
-36 + 3x + 3x2 = 3(-3(4 + x) + x(4 + x))
-36 + 3x + 3x2 = 3((4 * -3 + x * -3) + x(4 + x))
-36 + 3x + 3x2 = 3((-12 + -3x) + x(4 + x))
-36 + 3x + 3x2 = 3(-12 + -3x + (4 * x + x * x))
-36 + 3x + 3x2 = 3(-12 + -3x + (4x + x2))

Combine like terms: -3x + 4x = 1x
-36 + 3x + 3x2 = 3(-12 + 1x + x2)
-36 + 3x + 3x2 = (-12 * 3 + 1x * 3 + x2 * 3)
-36 + 3x + 3x2 = (-36 + 3x + 3x2)

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

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

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

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

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

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

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

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

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

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

Combine like terms: 3x2 + -3x2 = 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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