7x(4-2x)=30

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Solution for 7x(4-2x)=30 equation: 


Simplifying
7x(4 + -2x) = 30
(4 * 7x + -2x * 7x) = 30
(28x + -14x2) = 30

Solving
28x + -14x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 28x + -14x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 28x + -14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 14x + -7x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-15 + 14x + -7x2)' equal to zero and attempt to solve:

Simplifying
-15 + 14x + -7x2 = 0

Solving
-15 + 14x + -7x2 = 0

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

Divide each side by '-7'.
2.142857143 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.142857143' to each side of the equation.
2.142857143 + -2x + -2.142857143 + x2 = 0 + -2.142857143

Reorder the terms:
2.142857143 + -2.142857143 + -2x + x2 = 0 + -2.142857143

Combine like terms: 2.142857143 + -2.142857143 = 0.000000000
0.000000000 + -2x + x2 = 0 + -2.142857143
-2x + x2 = 0 + -2.142857143

Combine like terms: 0 + -2.142857143 = -2.142857143
-2x + x2 = -2.142857143

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2.142857143 + 1

Reorder the terms:
1 + -2x + x2 = -2.142857143 + 1

Combine like terms: -2.142857143 + 1 = -1.142857143
1 + -2x + x2 = -1.142857143

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.142857143

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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