(7x^2-4x-3)+(-4x^2+6x-7)=3x^2+2x+-10

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Solution for (7x^2-4x-3)+(-4x^2+6x-7)=3x^2+2x+-10 equation: 


Simplifying
(7x2 + -4x + -3) + (-4x2 + 6x + -7) = 3x2 + 2x + -10

Reorder the terms:
(-3 + -4x + 7x2) + (-4x2 + 6x + -7) = 3x2 + 2x + -10

Remove parenthesis around (-3 + -4x + 7x2)
-3 + -4x + 7x2 + (-4x2 + 6x + -7) = 3x2 + 2x + -10

Reorder the terms:
-3 + -4x + 7x2 + (-7 + 6x + -4x2) = 3x2 + 2x + -10

Remove parenthesis around (-7 + 6x + -4x2)
-3 + -4x + 7x2 + -7 + 6x + -4x2 = 3x2 + 2x + -10

Reorder the terms:
-3 + -7 + -4x + 6x + 7x2 + -4x2 = 3x2 + 2x + -10

Combine like terms: -3 + -7 = -10
-10 + -4x + 6x + 7x2 + -4x2 = 3x2 + 2x + -10

Combine like terms: -4x + 6x = 2x
-10 + 2x + 7x2 + -4x2 = 3x2 + 2x + -10

Combine like terms: 7x2 + -4x2 = 3x2
-10 + 2x + 3x2 = 3x2 + 2x + -10

Reorder the terms:
-10 + 2x + 3x2 = -10 + 2x + 3x2

Add '10' to each side of the equation.
-10 + 2x + 10 + 3x2 = -10 + 2x + 10 + 3x2

Reorder the terms:
-10 + 10 + 2x + 3x2 = -10 + 2x + 10 + 3x2

Combine like terms: -10 + 10 = 0
0 + 2x + 3x2 = -10 + 2x + 10 + 3x2
2x + 3x2 = -10 + 2x + 10 + 3x2

Reorder the terms:
2x + 3x2 = -10 + 10 + 2x + 3x2

Combine like terms: -10 + 10 = 0
2x + 3x2 = 0 + 2x + 3x2
2x + 3x2 = 2x + 3x2

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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