35x^2=24x-27

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Solution for 35x^2=24x-27 equation:


Simplifying
35x2 = 24x + -27

Reorder the terms:
35x2 = -27 + 24x

Solving
35x2 = -27 + 24x

Solving for variable 'x'.

Reorder the terms:
27 + -24x + 35x2 = -27 + 24x + 27 + -24x

Reorder the terms:
27 + -24x + 35x2 = -27 + 27 + 24x + -24x

Combine like terms: -27 + 27 = 0
27 + -24x + 35x2 = 0 + 24x + -24x
27 + -24x + 35x2 = 24x + -24x

Combine like terms: 24x + -24x = 0
27 + -24x + 35x2 = 0

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

Divide each side by '35'.
0.7714285714 + -0.6857142857x + x2 = 0

Move the constant term to the right:

Add '-0.7714285714' to each side of the equation.
0.7714285714 + -0.6857142857x + -0.7714285714 + x2 = 0 + -0.7714285714

Reorder the terms:
0.7714285714 + -0.7714285714 + -0.6857142857x + x2 = 0 + -0.7714285714

Combine like terms: 0.7714285714 + -0.7714285714 = 0.0000000000
0.0000000000 + -0.6857142857x + x2 = 0 + -0.7714285714
-0.6857142857x + x2 = 0 + -0.7714285714

Combine like terms: 0 + -0.7714285714 = -0.7714285714
-0.6857142857x + x2 = -0.7714285714

The x term is -0.6857142857x.  Take half its coefficient (-0.3428571429).
Square it (0.1175510204) and add it to both sides.

Add '0.1175510204' to each side of the equation.
-0.6857142857x + 0.1175510204 + x2 = -0.7714285714 + 0.1175510204

Reorder the terms:
0.1175510204 + -0.6857142857x + x2 = -0.7714285714 + 0.1175510204

Combine like terms: -0.7714285714 + 0.1175510204 = -0.653877551
0.1175510204 + -0.6857142857x + x2 = -0.653877551

Factor a perfect square on the left side:
(x + -0.3428571429)(x + -0.3428571429) = -0.653877551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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