(2.62+2.62x)(.11-x)=68

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Solution for (2.62+2.62x)(.11-x)=68 equation:


Simplifying
(2.62 + 2.62x)(0.11 + -1x) = 68

Multiply (2.62 + 2.62x) * (0.11 + -1x)
(2.62(0.11 + -1x) + 2.62x * (0.11 + -1x)) = 68
((0.11 * 2.62 + -1x * 2.62) + 2.62x * (0.11 + -1x)) = 68
((0.2882 + -2.62x) + 2.62x * (0.11 + -1x)) = 68
(0.2882 + -2.62x + (0.11 * 2.62x + -1x * 2.62x)) = 68
(0.2882 + -2.62x + (0.2882x + -2.62x2)) = 68

Combine like terms: -2.62x + 0.2882x = -2.3318x
(0.2882 + -2.3318x + -2.62x2) = 68

Solving
0.2882 + -2.3318x + -2.62x2 = 68

Solving for variable 'x'.

Reorder the terms:
0.2882 + -68 + -2.3318x + -2.62x2 = 68 + -68

Combine like terms: 0.2882 + -68 = -67.7118
-67.7118 + -2.3318x + -2.62x2 = 68 + -68

Combine like terms: 68 + -68 = 0
-67.7118 + -2.3318x + -2.62x2 = 0

Begin completing the square.  Divide all terms by
-2.62 the coefficient of the squared term: 

Divide each side by '-2.62'.
25.84419847 + 0.89x + x2 = 0

Move the constant term to the right:

Add '-25.84419847' to each side of the equation.
25.84419847 + 0.89x + -25.84419847 + x2 = 0 + -25.84419847

Reorder the terms:
25.84419847 + -25.84419847 + 0.89x + x2 = 0 + -25.84419847

Combine like terms: 25.84419847 + -25.84419847 = 0.00000000
0.00000000 + 0.89x + x2 = 0 + -25.84419847
0.89x + x2 = 0 + -25.84419847

Combine like terms: 0 + -25.84419847 = -25.84419847
0.89x + x2 = -25.84419847

The x term is 0.89x.  Take half its coefficient (0.445).
Square it (0.198025) and add it to both sides.

Add '0.198025' to each side of the equation.
0.89x + 0.198025 + x2 = -25.84419847 + 0.198025

Reorder the terms:
0.198025 + 0.89x + x2 = -25.84419847 + 0.198025

Combine like terms: -25.84419847 + 0.198025 = -25.64617347
0.198025 + 0.89x + x2 = -25.64617347

Factor a perfect square on the left side:
(x + 0.445)(x + 0.445) = -25.64617347

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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