53.97=141.35x-9.655x^2

Simple and best practice solution for 53.97=141.35x-9.655x^2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 53.97=141.35x-9.655x^2 equation:


Simplifying
53.97 = 141.35x + -9.655x2

Solving
53.97 = 141.35x + -9.655x2

Solving for variable 'x'.

Reorder the terms:
53.97 + -141.35x + 9.655x2 = 141.35x + -141.35x + -9.655x2 + 9.655x2

Combine like terms: 141.35x + -141.35x = 0.00
53.97 + -141.35x + 9.655x2 = 0.00 + -9.655x2 + 9.655x2
53.97 + -141.35x + 9.655x2 = -9.655x2 + 9.655x2

Combine like terms: -9.655x2 + 9.655x2 = 0.000
53.97 + -141.35x + 9.655x2 = 0.000

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

Divide each side by '9.655'.
5.589849819 + -14.64008286x + x2 = 0

Move the constant term to the right:

Add '-5.589849819' to each side of the equation.
5.589849819 + -14.64008286x + -5.589849819 + x2 = 0 + -5.589849819

Reorder the terms:
5.589849819 + -5.589849819 + -14.64008286x + x2 = 0 + -5.589849819

Combine like terms: 5.589849819 + -5.589849819 = 0.000000000
0.000000000 + -14.64008286x + x2 = 0 + -5.589849819
-14.64008286x + x2 = 0 + -5.589849819

Combine like terms: 0 + -5.589849819 = -5.589849819
-14.64008286x + x2 = -5.589849819

The x term is -14.64008286x.  Take half its coefficient (-7.32004143).
Square it (53.58300654) and add it to both sides.

Add '53.58300654' to each side of the equation.
-14.64008286x + 53.58300654 + x2 = -5.589849819 + 53.58300654

Reorder the terms:
53.58300654 + -14.64008286x + x2 = -5.589849819 + 53.58300654

Combine like terms: -5.589849819 + 53.58300654 = 47.993156721
53.58300654 + -14.64008286x + x2 = 47.993156721

Factor a perfect square on the left side:
(x + -7.32004143)(x + -7.32004143) = 47.993156721

Calculate the square root of the right side: 6.927709342

Break this problem into two subproblems by setting 
(x + -7.32004143) equal to 6.927709342 and -6.927709342.

Subproblem 1

x + -7.32004143 = 6.927709342 Simplifying x + -7.32004143 = 6.927709342 Reorder the terms: -7.32004143 + x = 6.927709342 Solving -7.32004143 + x = 6.927709342 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.32004143' to each side of the equation. -7.32004143 + 7.32004143 + x = 6.927709342 + 7.32004143 Combine like terms: -7.32004143 + 7.32004143 = 0.00000000 0.00000000 + x = 6.927709342 + 7.32004143 x = 6.927709342 + 7.32004143 Combine like terms: 6.927709342 + 7.32004143 = 14.247750772 x = 14.247750772 Simplifying x = 14.247750772

Subproblem 2

x + -7.32004143 = -6.927709342 Simplifying x + -7.32004143 = -6.927709342 Reorder the terms: -7.32004143 + x = -6.927709342 Solving -7.32004143 + x = -6.927709342 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.32004143' to each side of the equation. -7.32004143 + 7.32004143 + x = -6.927709342 + 7.32004143 Combine like terms: -7.32004143 + 7.32004143 = 0.00000000 0.00000000 + x = -6.927709342 + 7.32004143 x = -6.927709342 + 7.32004143 Combine like terms: -6.927709342 + 7.32004143 = 0.392332088 x = 0.392332088 Simplifying x = 0.392332088

Solution

The solution to the problem is based on the solutions from the subproblems. x = {14.247750772, 0.392332088}

See similar equations:

| (x+y)+0=X+Y | | 4(3x^2+2).6x=0 | | y=8+(-4y)*x-3 | | 5(6z-1)-4(z+1)=20(z+1) | | 2(5m+1)= | | 4z+5=8+2z | | 2(2x-1.8)=8x-3.6 | | 12y(x-y)= | | 32-5m=54 | | 1+2x-3x^2=0 | | 5x+7y=61 | | 4(2x-x+8)=0 | | -(x+3)+6(x+1)=18 | | 8x+28=3x+148 | | 6x+3(2x+2)=30 | | 2y=11x-3 | | (bc-3b)-(5c+15)= | | 32-3x=11-10x | | (24/5)^1/2 | | 11x-10=9x+7 | | -6x^3-44x^2-78x=0 | | -3x^2-32x-45=0 | | (x-3)2+(y-6)2=25 | | (2(1/2)-4)(2(4)-6) | | 2x+84=3x+20 | | 10-3(m+5)=15 | | 3log(A+8)=4 | | a*b^2/2*a*b | | 5z(z-7)(z-8)=0 | | -0.06x^2+6x-54=0 | | 6x+4y=46 | | ab^2/2ab |

Equations solver categories