-4x^2-3x+7=10

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Solution for -4x^2-3x+7=10 equation: 


Simplifying
-4x2 + -3x + 7 = 10

Reorder the terms:
7 + -3x + -4x2 = 10

Solving
7 + -3x + -4x2 = 10

Solving for variable 'x'.

Reorder the terms:
7 + -10 + -3x + -4x2 = 10 + -10

Combine like terms: 7 + -10 = -3
-3 + -3x + -4x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-3 + -3x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 3x + 4x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3 + 3x + 4x2)' equal to zero and attempt to solve:

Simplifying
3 + 3x + 4x2 = 0

Solving
3 + 3x + 4x2 = 0

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

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

Move the constant term to the right:

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

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

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

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

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 = -0.75 + 0.140625

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

Combine like terms: -0.75 + 0.140625 = -0.609375
0.140625 + 0.75x + x2 = -0.609375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.609375

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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