x^2+5x-10=x^2+4

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Solution for x^2+5x-10=x^2+4 equation:


Simplifying
x2 + 5x + -10 = x2 + 4

Reorder the terms:
-10 + 5x + x2 = x2 + 4

Reorder the terms:
-10 + 5x + x2 = 4 + x2

Add '-1x2' to each side of the equation.
-10 + 5x + x2 + -1x2 = 4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 5x + 0 = 4 + x2 + -1x2
-10 + 5x = 4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + 5x = 4 + 0
-10 + 5x = 4

Solving
-10 + 5x = 4

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 5x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 4 + 10
5x = 4 + 10

Combine like terms: 4 + 10 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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