(x)(x)-9.6(x)+23.04=0

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Solution for (x)(x)-9.6(x)+23.04=0 equation:


Simplifying
(x)(x) + -9.6(x) + 23.04 = 0

Multiply x * x
x2 + -9.6(x) + 23.04 = 0

Reorder the terms:
23.04 + -9.6x + x2 = 0

Solving
23.04 + -9.6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-23.04' to each side of the equation.
23.04 + -9.6x + -23.04 + x2 = 0 + -23.04

Reorder the terms:
23.04 + -23.04 + -9.6x + x2 = 0 + -23.04

Combine like terms: 23.04 + -23.04 = 0.00
0.00 + -9.6x + x2 = 0 + -23.04
-9.6x + x2 = 0 + -23.04

Combine like terms: 0 + -23.04 = -23.04
-9.6x + x2 = -23.04

The x term is -9.6x.  Take half its coefficient (-4.8).
Square it (23.04) and add it to both sides.

Add '23.04' to each side of the equation.
-9.6x + 23.04 + x2 = -23.04 + 23.04

Reorder the terms:
23.04 + -9.6x + x2 = -23.04 + 23.04

Combine like terms: -23.04 + 23.04 = 0.00
23.04 + -9.6x + x2 = 0.00

Factor a perfect square on the left side:
(x + -4.8)(x + -4.8) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + -4.8) equal to 0.00 and 0.00.

Subproblem 1

x + -4.8 = 0.00 Simplifying x + -4.8 = 0.00 Reorder the terms: -4.8 + x = 0.00 Solving -4.8 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.8' to each side of the equation. -4.8 + 4.8 + x = 0.00 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + x = 0.00 + 4.8 x = 0.00 + 4.8 Combine like terms: 0.00 + 4.8 = 4.8 x = 4.8 Simplifying x = 4.8

Subproblem 2

x + -4.8 = 0.00 Simplifying x + -4.8 = 0.00 Reorder the terms: -4.8 + x = 0.00 Solving -4.8 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.8' to each side of the equation. -4.8 + 4.8 + x = 0.00 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + x = 0.00 + 4.8 x = 0.00 + 4.8 Combine like terms: 0.00 + 4.8 = 4.8 x = 4.8 Simplifying x = 4.8

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.8, 4.8}

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