x^2+2x-1.25=(x-0.5)(x+2.5)

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Solution for x^2+2x-1.25=(x-0.5)(x+2.5) equation:


Simplifying
x2 + 2x + -1.25 = (x + -0.5)(x + 2.5)

Reorder the terms:
-1.25 + 2x + x2 = (x + -0.5)(x + 2.5)

Reorder the terms:
-1.25 + 2x + x2 = (-0.5 + x)(x + 2.5)

Reorder the terms:
-1.25 + 2x + x2 = (-0.5 + x)(2.5 + x)

Multiply (-0.5 + x) * (2.5 + x)
-1.25 + 2x + x2 = (-0.5(2.5 + x) + x(2.5 + x))
-1.25 + 2x + x2 = ((2.5 * -0.5 + x * -0.5) + x(2.5 + x))
-1.25 + 2x + x2 = ((-1.25 + -0.5x) + x(2.5 + x))
-1.25 + 2x + x2 = (-1.25 + -0.5x + (2.5 * x + x * x))
-1.25 + 2x + x2 = (-1.25 + -0.5x + (2.5x + x2))

Combine like terms: -0.5x + 2.5x = 2x
-1.25 + 2x + x2 = (-1.25 + 2x + x2)

Add '1.25' to each side of the equation.
-1.25 + 2x + 1.25 + x2 = -1.25 + 2x + 1.25 + x2

Reorder the terms:
-1.25 + 1.25 + 2x + x2 = -1.25 + 2x + 1.25 + x2

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 2x + x2 = -1.25 + 2x + 1.25 + x2
2x + x2 = -1.25 + 2x + 1.25 + x2

Reorder the terms:
2x + x2 = -1.25 + 1.25 + 2x + x2

Combine like terms: -1.25 + 1.25 = 0.00
2x + x2 = 0.00 + 2x + x2
2x + x2 = 2x + x2

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

Combine like terms: 2x + -2x = 0
0 + x2 = 2x + -2x + x2
x2 = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
x2 = 0 + x2
x2 = x2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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