5(4-x)(4-x)-3x(3-x)=0

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Solution for 5(4-x)(4-x)-3x(3-x)=0 equation:


Simplifying
5(4 + -1x)(4 + -1x) + -3x(3 + -1x) = 0

Multiply (4 + -1x) * (4 + -1x)
5(4(4 + -1x) + -1x * (4 + -1x)) + -3x(3 + -1x) = 0
5((4 * 4 + -1x * 4) + -1x * (4 + -1x)) + -3x(3 + -1x) = 0
5((16 + -4x) + -1x * (4 + -1x)) + -3x(3 + -1x) = 0
5(16 + -4x + (4 * -1x + -1x * -1x)) + -3x(3 + -1x) = 0
5(16 + -4x + (-4x + 1x2)) + -3x(3 + -1x) = 0

Combine like terms: -4x + -4x = -8x
5(16 + -8x + 1x2) + -3x(3 + -1x) = 0
(16 * 5 + -8x * 5 + 1x2 * 5) + -3x(3 + -1x) = 0
(80 + -40x + 5x2) + -3x(3 + -1x) = 0
80 + -40x + 5x2 + (3 * -3x + -1x * -3x) = 0
80 + -40x + 5x2 + (-9x + 3x2) = 0

Reorder the terms:
80 + -40x + -9x + 5x2 + 3x2 = 0

Combine like terms: -40x + -9x = -49x
80 + -49x + 5x2 + 3x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
80 + -49x + 8x2 = 0

Solving
80 + -49x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
10 + -6.125x + x2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6.125x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + -6.125x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6.125x + x2 = 0 + -10
-6.125x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6.125x + x2 = -10

The x term is -6.125x.  Take half its coefficient (-3.0625).
Square it (9.37890625) and add it to both sides.

Add '9.37890625' to each side of the equation.
-6.125x + 9.37890625 + x2 = -10 + 9.37890625

Reorder the terms:
9.37890625 + -6.125x + x2 = -10 + 9.37890625

Combine like terms: -10 + 9.37890625 = -0.62109375
9.37890625 + -6.125x + x2 = -0.62109375

Factor a perfect square on the left side:
(x + -3.0625)(x + -3.0625) = -0.62109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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