2x^2-28x=-2x^2-3x-25

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Solution for 2x^2-28x=-2x^2-3x-25 equation: 


Simplifying
2x2 + -28x = -2x2 + -3x + -25

Reorder the terms:
-28x + 2x2 = -2x2 + -3x + -25

Reorder the terms:
-28x + 2x2 = -25 + -3x + -2x2

Solving
-28x + 2x2 = -25 + -3x + -2x2

Solving for variable 'x'.

Reorder the terms:
25 + -28x + 3x + 2x2 + 2x2 = -25 + -3x + -2x2 + 25 + 3x + 2x2

Combine like terms: -28x + 3x = -25x
25 + -25x + 2x2 + 2x2 = -25 + -3x + -2x2 + 25 + 3x + 2x2

Combine like terms: 2x2 + 2x2 = 4x2
25 + -25x + 4x2 = -25 + -3x + -2x2 + 25 + 3x + 2x2

Reorder the terms:
25 + -25x + 4x2 = -25 + 25 + -3x + 3x + -2x2 + 2x2

Combine like terms: -25 + 25 = 0
25 + -25x + 4x2 = 0 + -3x + 3x + -2x2 + 2x2
25 + -25x + 4x2 = -3x + 3x + -2x2 + 2x2

Combine like terms: -3x + 3x = 0
25 + -25x + 4x2 = 0 + -2x2 + 2x2
25 + -25x + 4x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
25 + -25x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(5 + -1x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.25, 5}

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