5(3-11x)x=7

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Solution for 5(3-11x)x=7 equation:


Simplifying
5(3 + -11x) * x = 7

Reorder the terms for easier multiplication:
5x(3 + -11x) = 7
(3 * 5x + -11x * 5x) = 7
(15x + -55x2) = 7

Solving
15x + -55x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + 15x + -55x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 15x + -55x2 = 0

Begin completing the square.  Divide all terms by
-55 the coefficient of the squared term: 

Divide each side by '-55'.
0.1272727273 + -0.2727272727x + x2 = 0

Move the constant term to the right:

Add '-0.1272727273' to each side of the equation.
0.1272727273 + -0.2727272727x + -0.1272727273 + x2 = 0 + -0.1272727273

Reorder the terms:
0.1272727273 + -0.1272727273 + -0.2727272727x + x2 = 0 + -0.1272727273

Combine like terms: 0.1272727273 + -0.1272727273 = 0.0000000000
0.0000000000 + -0.2727272727x + x2 = 0 + -0.1272727273
-0.2727272727x + x2 = 0 + -0.1272727273

Combine like terms: 0 + -0.1272727273 = -0.1272727273
-0.2727272727x + x2 = -0.1272727273

The x term is -0.2727272727x.  Take half its coefficient (-0.1363636364).
Square it (0.01859504133) and add it to both sides.

Add '0.01859504133' to each side of the equation.
-0.2727272727x + 0.01859504133 + x2 = -0.1272727273 + 0.01859504133

Reorder the terms:
0.01859504133 + -0.2727272727x + x2 = -0.1272727273 + 0.01859504133

Combine like terms: -0.1272727273 + 0.01859504133 = -0.10867768597
0.01859504133 + -0.2727272727x + x2 = -0.10867768597

Factor a perfect square on the left side:
(x + -0.1363636364)(x + -0.1363636364) = -0.10867768597

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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