(1x^2+4x-13)-(-1x^2+4x-9)=-1x^2-4

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Solution for (1x^2+4x-13)-(-1x^2+4x-9)=-1x^2-4 equation: 


Simplifying
(1x2 + 4x + -13) + -1(-1x2 + 4x + -9) = -1x2 + -4

Reorder the terms:
(-13 + 4x + 1x2) + -1(-1x2 + 4x + -9) = -1x2 + -4

Remove parenthesis around (-13 + 4x + 1x2)
-13 + 4x + 1x2 + -1(-1x2 + 4x + -9) = -1x2 + -4

Reorder the terms:
-13 + 4x + 1x2 + -1(-9 + 4x + -1x2) = -1x2 + -4
-13 + 4x + 1x2 + (-9 * -1 + 4x * -1 + -1x2 * -1) = -1x2 + -4
-13 + 4x + 1x2 + (9 + -4x + 1x2) = -1x2 + -4

Reorder the terms:
-13 + 9 + 4x + -4x + 1x2 + 1x2 = -1x2 + -4

Combine like terms: -13 + 9 = -4
-4 + 4x + -4x + 1x2 + 1x2 = -1x2 + -4

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

Combine like terms: 1x2 + 1x2 = 2x2
-4 + 2x2 = -1x2 + -4

Reorder the terms:
-4 + 2x2 = -4 + -1x2

Add '4' to each side of the equation.
-4 + 4 + 2x2 = -4 + 4 + -1x2

Combine like terms: -4 + 4 = 0
0 + 2x2 = -4 + 4 + -1x2
2x2 = -4 + 4 + -1x2

Combine like terms: -4 + 4 = 0
2x2 = 0 + -1x2
2x2 = -1x2

Solving
2x2 = -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
2x2 + x2 = -1x2 + x2

Combine like terms: 2x2 + x2 = 3x2
3x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3x2 = 0

Divide each side by '3'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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