(1.32)(4-x)(1.8-x)=(x)(1.4-x)

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Solution for (1.32)(4-x)(1.8-x)=(x)(1.4-x) equation:


Simplifying
(1.32)(4 + -1x)(1.8 + -1x) = (x)(1.4 + -1x)

Multiply (4 + -1x) * (1.8 + -1x)
1.32(4(1.8 + -1x) + -1x * (1.8 + -1x)) = (x)(1.4 + -1x)
1.32((1.8 * 4 + -1x * 4) + -1x * (1.8 + -1x)) = (x)(1.4 + -1x)
1.32((7.2 + -4x) + -1x * (1.8 + -1x)) = (x)(1.4 + -1x)
1.32(7.2 + -4x + (1.8 * -1x + -1x * -1x)) = (x)(1.4 + -1x)
1.32(7.2 + -4x + (-1.8x + 1x2)) = (x)(1.4 + -1x)

Combine like terms: -4x + -1.8x = -5.8x
1.32(7.2 + -5.8x + 1x2) = (x)(1.4 + -1x)
(7.2 * 1.32 + -5.8x * 1.32 + 1x2 * 1.32) = (x)(1.4 + -1x)
(9.504 + -7.656x + 1.32x2) = (x)(1.4 + -1x)
9.504 + -7.656x + 1.32x2 = (1.4 * x + -1x * x)
9.504 + -7.656x + 1.32x2 = (1.4x + -1x2)

Solving
9.504 + -7.656x + 1.32x2 = 1.4x + -1x2

Solving for variable 'x'.

Reorder the terms:
9.504 + -7.656x + -1.4x + 1.32x2 + x2 = 1.4x + -1x2 + -1.4x + x2

Combine like terms: -7.656x + -1.4x = -9.056x
9.504 + -9.056x + 1.32x2 + x2 = 1.4x + -1x2 + -1.4x + x2

Combine like terms: 1.32x2 + x2 = 2.32x2
9.504 + -9.056x + 2.32x2 = 1.4x + -1x2 + -1.4x + x2

Reorder the terms:
9.504 + -9.056x + 2.32x2 = 1.4x + -1.4x + -1x2 + x2

Combine like terms: 1.4x + -1.4x = 0.0
9.504 + -9.056x + 2.32x2 = 0.0 + -1x2 + x2
9.504 + -9.056x + 2.32x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
9.504 + -9.056x + 2.32x2 = 0

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

Divide each side by '2.32'.
4.096551724 + -3.903448276x + x2 = 0

Move the constant term to the right:

Add '-4.096551724' to each side of the equation.
4.096551724 + -3.903448276x + -4.096551724 + x2 = 0 + -4.096551724

Reorder the terms:
4.096551724 + -4.096551724 + -3.903448276x + x2 = 0 + -4.096551724

Combine like terms: 4.096551724 + -4.096551724 = 0.000000000
0.000000000 + -3.903448276x + x2 = 0 + -4.096551724
-3.903448276x + x2 = 0 + -4.096551724

Combine like terms: 0 + -4.096551724 = -4.096551724
-3.903448276x + x2 = -4.096551724

The x term is -3.903448276x.  Take half its coefficient (-1.951724138).
Square it (3.809227111) and add it to both sides.

Add '3.809227111' to each side of the equation.
-3.903448276x + 3.809227111 + x2 = -4.096551724 + 3.809227111

Reorder the terms:
3.809227111 + -3.903448276x + x2 = -4.096551724 + 3.809227111

Combine like terms: -4.096551724 + 3.809227111 = -0.287324613
3.809227111 + -3.903448276x + x2 = -0.287324613

Factor a perfect square on the left side:
(x + -1.951724138)(x + -1.951724138) = -0.287324613

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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