-7x^2=-4x+12

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Solution for -7x^2=-4x+12 equation: 


Simplifying
-7x2 = -4x + 12

Reorder the terms:
-7x2 = 12 + -4x

Solving
-7x2 = 12 + -4x

Solving for variable 'x'.

Reorder the terms:
-12 + 4x + -7x2 = 12 + -4x + -12 + 4x

Reorder the terms:
-12 + 4x + -7x2 = 12 + -12 + -4x + 4x

Combine like terms: 12 + -12 = 0
-12 + 4x + -7x2 = 0 + -4x + 4x
-12 + 4x + -7x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 4x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
1.714285714 + -0.5714285714x + x2 = 0

Move the constant term to the right:

Add '-1.714285714' to each side of the equation.
1.714285714 + -0.5714285714x + -1.714285714 + x2 = 0 + -1.714285714

Reorder the terms:
1.714285714 + -1.714285714 + -0.5714285714x + x2 = 0 + -1.714285714

Combine like terms: 1.714285714 + -1.714285714 = 0.000000000
0.000000000 + -0.5714285714x + x2 = 0 + -1.714285714
-0.5714285714x + x2 = 0 + -1.714285714

Combine like terms: 0 + -1.714285714 = -1.714285714
-0.5714285714x + x2 = -1.714285714

The x term is -0.5714285714x.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714x + 0.08163265305 + x2 = -1.714285714 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714x + x2 = -1.714285714 + 0.08163265305

Combine like terms: -1.714285714 + 0.08163265305 = -1.63265306095
0.08163265305 + -0.5714285714x + x2 = -1.63265306095

Factor a perfect square on the left side:
(x + -0.2857142857)(x + -0.2857142857) = -1.63265306095

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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