X^2+5x+13=2(2x^2+8x-15)

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Solution for X^2+5x+13=2(2x^2+8x-15) equation: 


Simplifying
X2 + 5x + 13 = 2(2x2 + 8x + -15)

Reorder the terms:
13 + X2 + 5x = 2(2x2 + 8x + -15)

Reorder the terms:
13 + X2 + 5x = 2(-15 + 8x + 2x2)
13 + X2 + 5x = (-15 * 2 + 8x * 2 + 2x2 * 2)
13 + X2 + 5x = (-30 + 16x + 4x2)

Solving
13 + X2 + 5x = -30 + 16x + 4x2

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X2 + -13 + 5x = -30 + 16x + -13 + 4x2

Reorder the terms:
13 + -13 + X2 + 5x = -30 + 16x + -13 + 4x2

Combine like terms: 13 + -13 = 0
0 + X2 + 5x = -30 + 16x + -13 + 4x2
X2 + 5x = -30 + 16x + -13 + 4x2

Reorder the terms:
X2 + 5x = -30 + -13 + 16x + 4x2

Combine like terms: -30 + -13 = -43
X2 + 5x = -43 + 16x + 4x2

Add '-5x' to each side of the equation.
X2 + 5x + -5x = -43 + 16x + -5x + 4x2

Combine like terms: 5x + -5x = 0
X2 + 0 = -43 + 16x + -5x + 4x2
X2 = -43 + 16x + -5x + 4x2

Combine like terms: 16x + -5x = 11x
X2 = -43 + 11x + 4x2

Simplifying
X2 = -43 + 11x + 4x2

Reorder the terms:
43 + X2 + -11x + -4x2 = -43 + 11x + 4x2 + 43 + -11x + -4x2

Reorder the terms:
43 + X2 + -11x + -4x2 = -43 + 43 + 11x + -11x + 4x2 + -4x2

Combine like terms: -43 + 43 = 0
43 + X2 + -11x + -4x2 = 0 + 11x + -11x + 4x2 + -4x2
43 + X2 + -11x + -4x2 = 11x + -11x + 4x2 + -4x2

Combine like terms: 11x + -11x = 0
43 + X2 + -11x + -4x2 = 0 + 4x2 + -4x2
43 + X2 + -11x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
43 + X2 + -11x + -4x2 = 0

The solution to this equation could not be determined.

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