x-x*(225-5-5x)+4-3x*5=

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Solution for x-x*(225-5-5x)+4-3x*5= equation:


Simplifying
x + -1x(225 + -5 + -5x) + 4 + -3x * 5 = 0

Combine like terms: 225 + -5 = 220
x + -1x(220 + -5x) + 4 + -3x * 5 = 0
x + (220 * -1x + -5x * -1x) + 4 + -3x * 5 = 0
x + (-220x + 5x2) + 4 + -3x * 5 = 0

Reorder the terms for easier multiplication:
x + -220x + 5x2 + 4 + -3 * 5x = 0

Multiply -3 * 5
x + -220x + 5x2 + 4 + -15x = 0

Reorder the terms:
4 + x + -220x + -15x + 5x2 = 0

Combine like terms: x + -220x = -219x
4 + -219x + -15x + 5x2 = 0

Combine like terms: -219x + -15x = -234x
4 + -234x + 5x2 = 0

Solving
4 + -234x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
0.8 + -46.8x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -46.8x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -46.8x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -46.8x + x2 = 0 + -0.8
-46.8x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-46.8x + x2 = -0.8

The x term is -46.8x.  Take half its coefficient (-23.4).
Square it (547.56) and add it to both sides.

Add '547.56' to each side of the equation.
-46.8x + 547.56 + x2 = -0.8 + 547.56

Reorder the terms:
547.56 + -46.8x + x2 = -0.8 + 547.56

Combine like terms: -0.8 + 547.56 = 546.76
547.56 + -46.8x + x2 = 546.76

Factor a perfect square on the left side:
(x + -23.4)(x + -23.4) = 546.76

Calculate the square root of the right side: 23.382899735

Break this problem into two subproblems by setting 
(x + -23.4) equal to 23.382899735 and -23.382899735.

Subproblem 1

x + -23.4 = 23.382899735 Simplifying x + -23.4 = 23.382899735 Reorder the terms: -23.4 + x = 23.382899735 Solving -23.4 + x = 23.382899735 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23.4' to each side of the equation. -23.4 + 23.4 + x = 23.382899735 + 23.4 Combine like terms: -23.4 + 23.4 = 0.0 0.0 + x = 23.382899735 + 23.4 x = 23.382899735 + 23.4 Combine like terms: 23.382899735 + 23.4 = 46.782899735 x = 46.782899735 Simplifying x = 46.782899735

Subproblem 2

x + -23.4 = -23.382899735 Simplifying x + -23.4 = -23.382899735 Reorder the terms: -23.4 + x = -23.382899735 Solving -23.4 + x = -23.382899735 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23.4' to each side of the equation. -23.4 + 23.4 + x = -23.382899735 + 23.4 Combine like terms: -23.4 + 23.4 = 0.0 0.0 + x = -23.382899735 + 23.4 x = -23.382899735 + 23.4 Combine like terms: -23.382899735 + 23.4 = 0.017100265 x = 0.017100265 Simplifying x = 0.017100265

Solution

The solution to the problem is based on the solutions from the subproblems. x = {46.782899735, 0.017100265}

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