-4x^2+10x-12=0

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Solution for -4x^2+10x-12=0 equation: 


Simplifying
-4x2 + 10x + -12 = 0

Reorder the terms:
-12 + 10x + -4x2 = 0

Solving
-12 + 10x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5x + -2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + 5x + -2x2)' equal to zero and attempt to solve:

Simplifying
-6 + 5x + -2x2 = 0

Solving
-6 + 5x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
3 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.5x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2.5x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.5x + x2 = 0 + -3
-2.5x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.5x + x2 = -3

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -3 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + -2.5x + x2 = -1.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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