0.5x^2+x-4=0.5(x^2+1)-3.5

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Solution for 0.5x^2+x-4=0.5(x^2+1)-3.5 equation: 


Simplifying
0.5x2 + x + -4 = 0.5(x2 + 1) + -3.5

Reorder the terms:
-4 + x + 0.5x2 = 0.5(x2 + 1) + -3.5

Reorder the terms:
-4 + x + 0.5x2 = 0.5(1 + x2) + -3.5
-4 + x + 0.5x2 = (1 * 0.5 + x2 * 0.5) + -3.5
-4 + x + 0.5x2 = (0.5 + 0.5x2) + -3.5

Reorder the terms:
-4 + x + 0.5x2 = 0.5 + -3.5 + 0.5x2

Combine like terms: 0.5 + -3.5 = -3
-4 + x + 0.5x2 = -3 + 0.5x2

Add '-0.5x2' to each side of the equation.
-4 + x + 0.5x2 + -0.5x2 = -3 + 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-4 + x + 0.0 = -3 + 0.5x2 + -0.5x2
-4 + x = -3 + 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
-4 + x = -3 + 0.0
-4 + x = -3

Solving
-4 + x = -3

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 + x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + x = -3 + 4
x = -3 + 4

Combine like terms: -3 + 4 = 1
x = 1

Simplifying
x = 1

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