(x^2-5x+1)-(x^2+2x+5)=

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Solution for (x^2-5x+1)-(x^2+2x+5)= equation:


Simplifying
(x2 + -5x + 1) + -1(x2 + 2x + 5) = 0

Reorder the terms:
(1 + -5x + x2) + -1(x2 + 2x + 5) = 0

Remove parenthesis around (1 + -5x + x2)
1 + -5x + x2 + -1(x2 + 2x + 5) = 0

Reorder the terms:
1 + -5x + x2 + -1(5 + 2x + x2) = 0
1 + -5x + x2 + (5 * -1 + 2x * -1 + x2 * -1) = 0
1 + -5x + x2 + (-5 + -2x + -1x2) = 0

Reorder the terms:
1 + -5 + -5x + -2x + x2 + -1x2 = 0

Combine like terms: 1 + -5 = -4
-4 + -5x + -2x + x2 + -1x2 = 0

Combine like terms: -5x + -2x = -7x
-4 + -7x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-4 + -7x + 0 = 0
-4 + -7x = 0

Solving
-4 + -7x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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