(0.15-x)*(0.15-x)=

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Solution for (0.15-x)*(0.15-x)= equation:


Simplifying
(0.15 + -1x)(0.15 + -1x) = 0

Multiply (0.15 + -1x) * (0.15 + -1x)
(0.15(0.15 + -1x) + -1x * (0.15 + -1x)) = 0
((0.15 * 0.15 + -1x * 0.15) + -1x * (0.15 + -1x)) = 0
((0.0225 + -0.15x) + -1x * (0.15 + -1x)) = 0
(0.0225 + -0.15x + (0.15 * -1x + -1x * -1x)) = 0
(0.0225 + -0.15x + (-0.15x + 1x2)) = 0

Combine like terms: -0.15x + -0.15x = -0.3x
(0.0225 + -0.3x + 1x2) = 0

Solving
0.0225 + -0.3x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.0225' to each side of the equation.
0.0225 + -0.3x + -0.0225 + x2 = 0 + -0.0225

Reorder the terms:
0.0225 + -0.0225 + -0.3x + x2 = 0 + -0.0225

Combine like terms: 0.0225 + -0.0225 = 0.0000
0.0000 + -0.3x + x2 = 0 + -0.0225
-0.3x + x2 = 0 + -0.0225

Combine like terms: 0 + -0.0225 = -0.0225
-0.3x + x2 = -0.0225

The x term is -0.3x.  Take half its coefficient (-0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
-0.3x + 0.0225 + x2 = -0.0225 + 0.0225

Reorder the terms:
0.0225 + -0.3x + x2 = -0.0225 + 0.0225

Combine like terms: -0.0225 + 0.0225 = 0.0000
0.0225 + -0.3x + x2 = 0.0000

Factor a perfect square on the left side:
(x + -0.15)(x + -0.15) = 0.0000

Calculate the square root of the right side: 0.0000

Break this problem into two subproblems by setting 
(x + -0.15) equal to 0.0000 and 0.0000.

Subproblem 1

x + -0.15 = 0.0000 Simplifying x + -0.15 = 0.0000 Reorder the terms: -0.15 + x = 0.0000 Solving -0.15 + x = 0.0000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15' to each side of the equation. -0.15 + 0.15 + x = 0.0000 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + x = 0.0000 + 0.15 x = 0.0000 + 0.15 Combine like terms: 0.0000 + 0.15 = 0.15 x = 0.15 Simplifying x = 0.15

Subproblem 2

x + -0.15 = 0.0000 Simplifying x + -0.15 = 0.0000 Reorder the terms: -0.15 + x = 0.0000 Solving -0.15 + x = 0.0000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.15' to each side of the equation. -0.15 + 0.15 + x = 0.0000 + 0.15 Combine like terms: -0.15 + 0.15 = 0.00 0.00 + x = 0.0000 + 0.15 x = 0.0000 + 0.15 Combine like terms: 0.0000 + 0.15 = 0.15 x = 0.15 Simplifying x = 0.15

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.15, 0.15}

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