(4x*x+5x-5)-(3x*x-7x-5)=

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Solution for (4x*x+5x-5)-(3x*x-7x-5)= equation:


Simplifying
(4x * x + 5x + -5) + -1(3x * x + -7x + -5) = 0

Multiply x * x
(4x2 + 5x + -5) + -1(3x * x + -7x + -5) = 0

Reorder the terms:
(-5 + 5x + 4x2) + -1(3x * x + -7x + -5) = 0

Remove parenthesis around (-5 + 5x + 4x2)
-5 + 5x + 4x2 + -1(3x * x + -7x + -5) = 0

Multiply x * x
-5 + 5x + 4x2 + -1(3x2 + -7x + -5) = 0

Reorder the terms:
-5 + 5x + 4x2 + -1(-5 + -7x + 3x2) = 0
-5 + 5x + 4x2 + (-5 * -1 + -7x * -1 + 3x2 * -1) = 0
-5 + 5x + 4x2 + (5 + 7x + -3x2) = 0

Reorder the terms:
-5 + 5 + 5x + 7x + 4x2 + -3x2 = 0

Combine like terms: -5 + 5 = 0
0 + 5x + 7x + 4x2 + -3x2 = 0
5x + 7x + 4x2 + -3x2 = 0

Combine like terms: 5x + 7x = 12x
12x + 4x2 + -3x2 = 0

Combine like terms: 4x2 + -3x2 = 1x2
12x + 1x2 = 0

Solving
12x + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + x) = 0


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 '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {0, -12}

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