(8X^2-3x)-(4x^2+5x-3)=0

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Solution for (8X^2-3x)-(4x^2+5x-3)=0 equation: 


Simplifying
(8X2 + -3x) + -1(4x2 + 5x + -3) = 0

Remove parenthesis around (8X2 + -3x)
8X2 + -3x + -1(4x2 + 5x + -3) = 0

Reorder the terms:
8X2 + -3x + -1(-3 + 5x + 4x2) = 0
8X2 + -3x + (-3 * -1 + 5x * -1 + 4x2 * -1) = 0
8X2 + -3x + (3 + -5x + -4x2) = 0

Reorder the terms:
3 + 8X2 + -3x + -5x + -4x2 = 0

Combine like terms: -3x + -5x = -8x
3 + 8X2 + -8x + -4x2 = 0

Solving
3 + 8X2 + -8x + -4x2 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + 8X2 + -8x + -3 + -4x2 = 0 + -3

Reorder the terms:
3 + -3 + 8X2 + -8x + -4x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8X2 + -8x + -4x2 = 0 + -3
8X2 + -8x + -4x2 = 0 + -3

Combine like terms: 0 + -3 = -3
8X2 + -8x + -4x2 = -3

Add '8x' to each side of the equation.
8X2 + -8x + 8x + -4x2 = -3 + 8x

Combine like terms: -8x + 8x = 0
8X2 + 0 + -4x2 = -3 + 8x
8X2 + -4x2 = -3 + 8x

Add '4x2' to each side of the equation.
8X2 + -4x2 + 4x2 = -3 + 8x + 4x2

Combine like terms: -4x2 + 4x2 = 0
8X2 + 0 = -3 + 8x + 4x2
8X2 = -3 + 8x + 4x2

Divide each side by '8'.
X2 = -0.375 + x + 0.5x2

Simplifying
X2 = -0.375 + x + 0.5x2

Reorder the terms:
0.375 + X2 + -1x + -0.5x2 = -0.375 + x + 0.5x2 + 0.375 + -1x + -0.5x2

Reorder the terms:
0.375 + X2 + -1x + -0.5x2 = -0.375 + 0.375 + x + -1x + 0.5x2 + -0.5x2

Combine like terms: -0.375 + 0.375 = 0.000
0.375 + X2 + -1x + -0.5x2 = 0.000 + x + -1x + 0.5x2 + -0.5x2
0.375 + X2 + -1x + -0.5x2 = x + -1x + 0.5x2 + -0.5x2

Combine like terms: x + -1x = 0
0.375 + X2 + -1x + -0.5x2 = 0 + 0.5x2 + -0.5x2
0.375 + X2 + -1x + -0.5x2 = 0.5x2 + -0.5x2

Combine like terms: 0.5x2 + -0.5x2 = 0.0
0.375 + X2 + -1x + -0.5x2 = 0.0

The solution to this equation could not be determined.

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