3x^2-5x-28=2x^2+x-28

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Solution for 3x^2-5x-28=2x^2+x-28 equation:


Simplifying
3x2 + -5x + -28 = 2x2 + x + -28

Reorder the terms:
-28 + -5x + 3x2 = 2x2 + x + -28

Reorder the terms:
-28 + -5x + 3x2 = -28 + x + 2x2

Add '28' to each side of the equation.
-28 + -5x + 28 + 3x2 = -28 + x + 28 + 2x2

Reorder the terms:
-28 + 28 + -5x + 3x2 = -28 + x + 28 + 2x2

Combine like terms: -28 + 28 = 0
0 + -5x + 3x2 = -28 + x + 28 + 2x2
-5x + 3x2 = -28 + x + 28 + 2x2

Reorder the terms:
-5x + 3x2 = -28 + 28 + x + 2x2

Combine like terms: -28 + 28 = 0
-5x + 3x2 = 0 + x + 2x2
-5x + 3x2 = x + 2x2

Solving
-5x + 3x2 = x + 2x2

Solving for variable 'x'.

Reorder the terms:
-5x + -1x + 3x2 + -2x2 = x + 2x2 + -1x + -2x2

Combine like terms: -5x + -1x = -6x
-6x + 3x2 + -2x2 = x + 2x2 + -1x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-6x + 1x2 = x + 2x2 + -1x + -2x2

Reorder the terms:
-6x + 1x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
-6x + 1x2 = 0 + 2x2 + -2x2
-6x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {0, 6}

 

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