2x^2+x-7=6x^2+x-3

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Solution for 2x^2+x-7=6x^2+x-3 equation:


Simplifying
2x2 + x + -7 = 6x2 + x + -3

Reorder the terms:
-7 + x + 2x2 = 6x2 + x + -3

Reorder the terms:
-7 + x + 2x2 = -3 + x + 6x2

Add '-1x' to each side of the equation.
-7 + x + -1x + 2x2 = -3 + x + -1x + 6x2

Combine like terms: x + -1x = 0
-7 + 0 + 2x2 = -3 + x + -1x + 6x2
-7 + 2x2 = -3 + x + -1x + 6x2

Combine like terms: x + -1x = 0
-7 + 2x2 = -3 + 0 + 6x2
-7 + 2x2 = -3 + 6x2

Solving
-7 + 2x2 = -3 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
-7 + 2x2 + -6x2 = -3 + 6x2 + -6x2

Combine like terms: 2x2 + -6x2 = -4x2
-7 + -4x2 = -3 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-7 + -4x2 = -3 + 0
-7 + -4x2 = -3

Add '7' to each side of the equation.
-7 + 7 + -4x2 = -3 + 7

Combine like terms: -7 + 7 = 0
0 + -4x2 = -3 + 7
-4x2 = -3 + 7

Combine like terms: -3 + 7 = 4
-4x2 = 4

Divide each side by '-4'.
x2 = -1

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

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

The solution to this equation could not be determined.

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