3x^2+7x-28=2x^2-7x+4

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Solution for 3x^2+7x-28=2x^2-7x+4 equation: 


Simplifying
3x2 + 7x + -28 = 2x2 + -7x + 4

Reorder the terms:
-28 + 7x + 3x2 = 2x2 + -7x + 4

Reorder the terms:
-28 + 7x + 3x2 = 4 + -7x + 2x2

Solving
-28 + 7x + 3x2 = 4 + -7x + 2x2

Solving for variable 'x'.

Reorder the terms:
-28 + -4 + 7x + 7x + 3x2 + -2x2 = 4 + -7x + 2x2 + -4 + 7x + -2x2

Combine like terms: -28 + -4 = -32
-32 + 7x + 7x + 3x2 + -2x2 = 4 + -7x + 2x2 + -4 + 7x + -2x2

Combine like terms: 7x + 7x = 14x
-32 + 14x + 3x2 + -2x2 = 4 + -7x + 2x2 + -4 + 7x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-32 + 14x + 1x2 = 4 + -7x + 2x2 + -4 + 7x + -2x2

Reorder the terms:
-32 + 14x + 1x2 = 4 + -4 + -7x + 7x + 2x2 + -2x2

Combine like terms: 4 + -4 = 0
-32 + 14x + 1x2 = 0 + -7x + 7x + 2x2 + -2x2
-32 + 14x + 1x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
-32 + 14x + 1x2 = 0 + 2x2 + -2x2
-32 + 14x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-32 + 14x + 1x2 = 0

Factor a trinomial.
(-16 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-16, 2}

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