x-5x^2-28=3x-x^2-2x+7

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Solution for x-5x^2-28=3x-x^2-2x+7 equation: 


Simplifying
x + -5x2 + -28 = 3x + -1x2 + -2x + 7

Reorder the terms:
-28 + x + -5x2 = 3x + -1x2 + -2x + 7

Reorder the terms:
-28 + x + -5x2 = 7 + 3x + -2x + -1x2

Combine like terms: 3x + -2x = 1x
-28 + x + -5x2 = 7 + 1x + -1x2

Solving
-28 + x + -5x2 = 7 + 1x + -1x2

Solving for variable 'x'.

Reorder the terms:
-28 + -7 + x + -1x + -5x2 + x2 = 7 + 1x + -1x2 + -7 + -1x + x2

Combine like terms: -28 + -7 = -35
-35 + x + -1x + -5x2 + x2 = 7 + 1x + -1x2 + -7 + -1x + x2

Combine like terms: x + -1x = 0
-35 + 0 + -5x2 + x2 = 7 + 1x + -1x2 + -7 + -1x + x2
-35 + -5x2 + x2 = 7 + 1x + -1x2 + -7 + -1x + x2

Combine like terms: -5x2 + x2 = -4x2
-35 + -4x2 = 7 + 1x + -1x2 + -7 + -1x + x2

Reorder the terms:
-35 + -4x2 = 7 + -7 + 1x + -1x + -1x2 + x2

Combine like terms: 7 + -7 = 0
-35 + -4x2 = 0 + 1x + -1x + -1x2 + x2
-35 + -4x2 = 1x + -1x + -1x2 + x2

Combine like terms: 1x + -1x = 0
-35 + -4x2 = 0 + -1x2 + x2
-35 + -4x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-35 + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 4x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(35 + 4x2)' equal to zero and attempt to solve:

Simplifying
35 + 4x2 = 0

Solving
35 + 4x2 = 0

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

Add '-35' to each side of the equation.
35 + -35 + 4x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 4x2 = 0 + -35
4x2 = 0 + -35

Combine like terms: 0 + -35 = -35
4x2 = -35

Divide each side by '4'.
x2 = -8.75

Simplifying
x2 = -8.75

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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