4x^2-9x+13=-2x+9

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Solution for 4x^2-9x+13=-2x+9 equation: 


Simplifying
4x2 + -9x + 13 = -2x + 9

Reorder the terms:
13 + -9x + 4x2 = -2x + 9

Reorder the terms:
13 + -9x + 4x2 = 9 + -2x

Solving
13 + -9x + 4x2 = 9 + -2x

Solving for variable 'x'.

Reorder the terms:
13 + -9 + -9x + 2x + 4x2 = 9 + -2x + -9 + 2x

Combine like terms: 13 + -9 = 4
4 + -9x + 2x + 4x2 = 9 + -2x + -9 + 2x

Combine like terms: -9x + 2x = -7x
4 + -7x + 4x2 = 9 + -2x + -9 + 2x

Reorder the terms:
4 + -7x + 4x2 = 9 + -9 + -2x + 2x

Combine like terms: 9 + -9 = 0
4 + -7x + 4x2 = 0 + -2x + 2x
4 + -7x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
4 + -7x + 4x2 = 0

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

Divide each side by '4'.
1 + -1.75x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.75x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.75x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.75x + x2 = 0 + -1
-1.75x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.75x + x2 = -1

The x term is -1.75x.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75x + 0.765625 + x2 = -1 + 0.765625

Reorder the terms:
0.765625 + -1.75x + x2 = -1 + 0.765625

Combine like terms: -1 + 0.765625 = -0.234375
0.765625 + -1.75x + x2 = -0.234375

Factor a perfect square on the left side:
(x + -0.875)(x + -0.875) = -0.234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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