(7x*x-3x-5)+(3x*x-7x+5)=

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Solution for (7x*x-3x-5)+(3x*x-7x+5)= equation:


Simplifying
(7x * x + -3x + -5) + (3x * x + -7x + 5) = 0

Multiply x * x
(7x2 + -3x + -5) + (3x * x + -7x + 5) = 0

Reorder the terms:
(-5 + -3x + 7x2) + (3x * x + -7x + 5) = 0

Remove parenthesis around (-5 + -3x + 7x2)
-5 + -3x + 7x2 + (3x * x + -7x + 5) = 0

Multiply x * x
-5 + -3x + 7x2 + (3x2 + -7x + 5) = 0

Reorder the terms:
-5 + -3x + 7x2 + (5 + -7x + 3x2) = 0

Remove parenthesis around (5 + -7x + 3x2)
-5 + -3x + 7x2 + 5 + -7x + 3x2 = 0

Reorder the terms:
-5 + 5 + -3x + -7x + 7x2 + 3x2 = 0

Combine like terms: -5 + 5 = 0
0 + -3x + -7x + 7x2 + 3x2 = 0
-3x + -7x + 7x2 + 3x2 = 0

Combine like terms: -3x + -7x = -10x
-10x + 7x2 + 3x2 = 0

Combine like terms: 7x2 + 3x2 = 10x2
-10x + 10x2 = 0

Solving
-10x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-1 + x) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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