0=4x^2-3x+15

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Solution for 0=4x^2-3x+15 equation: 


Simplifying
0 = 4x2 + -3x + 15

Reorder the terms:
0 = 15 + -3x + 4x2

Solving
0 = 15 + -3x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + 3x + -4x2 = 15 + -3x + 4x2 + -15 + 3x + -4x2

Reorder the terms:
-15 + 3x + -4x2 = 15 + -15 + -3x + 3x + 4x2 + -4x2

Combine like terms: 15 + -15 = 0
-15 + 3x + -4x2 = 0 + -3x + 3x + 4x2 + -4x2
-15 + 3x + -4x2 = -3x + 3x + 4x2 + -4x2

Combine like terms: -3x + 3x = 0
-15 + 3x + -4x2 = 0 + 4x2 + -4x2
-15 + 3x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + 3x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
3.75 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + -0.75x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + -0.75x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + -0.75x + x2 = 0 + -3.75
-0.75x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
-0.75x + x2 = -3.75

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -3.75 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -3.75 + 0.140625

Combine like terms: -3.75 + 0.140625 = -3.609375
0.140625 + -0.75x + x2 = -3.609375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -3.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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