2x(-5x+7)=94

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Solution for 2x(-5x+7)=94 equation: 


Simplifying
2x(-5x + 7) = 94

Reorder the terms:
2x(7 + -5x) = 94
(7 * 2x + -5x * 2x) = 94
(14x + -10x2) = 94

Solving
14x + -10x2 = 94

Solving for variable 'x'.

Reorder the terms:
-94 + 14x + -10x2 = 94 + -94

Combine like terms: 94 + -94 = 0
-94 + 14x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-47 + 7x + -5x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-47 + 7x + -5x2)' equal to zero and attempt to solve:

Simplifying
-47 + 7x + -5x2 = 0

Solving
-47 + 7x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
9.4 + -1.4x + x2 = 0

Move the constant term to the right:

Add '-9.4' to each side of the equation.
9.4 + -1.4x + -9.4 + x2 = 0 + -9.4

Reorder the terms:
9.4 + -9.4 + -1.4x + x2 = 0 + -9.4

Combine like terms: 9.4 + -9.4 = 0.0
0.0 + -1.4x + x2 = 0 + -9.4
-1.4x + x2 = 0 + -9.4

Combine like terms: 0 + -9.4 = -9.4
-1.4x + x2 = -9.4

The x term is -1.4x.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4x + 0.49 + x2 = -9.4 + 0.49

Reorder the terms:
0.49 + -1.4x + x2 = -9.4 + 0.49

Combine like terms: -9.4 + 0.49 = -8.91
0.49 + -1.4x + x2 = -8.91

Factor a perfect square on the left side:
(x + -0.7)(x + -0.7) = -8.91

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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