-4x^2+72x-252=0

Simple and best practice solution for -4x^2+72x-252=0 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 -4x^2+72x-252=0 equation:


Simplifying
-4x2 + 72x + -252 = 0

Reorder the terms:
-252 + 72x + -4x2 = 0

Solving
-252 + 72x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-63 + 18x + -1x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-63 + 18x + -1x2)' equal to zero and attempt to solve: Simplifying -63 + 18x + -1x2 = 0 Solving -63 + 18x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 63 + -18x + x2 = 0 Move the constant term to the right: Add '-63' to each side of the equation. 63 + -18x + -63 + x2 = 0 + -63 Reorder the terms: 63 + -63 + -18x + x2 = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -18x + x2 = 0 + -63 -18x + x2 = 0 + -63 Combine like terms: 0 + -63 = -63 -18x + x2 = -63 The x term is -18x. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18x + 81 + x2 = -63 + 81 Reorder the terms: 81 + -18x + x2 = -63 + 81 Combine like terms: -63 + 81 = 18 81 + -18x + x2 = 18 Factor a perfect square on the left side: (x + -9)(x + -9) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (x + -9) equal to 4.242640687 and -4.242640687.

Subproblem 1

x + -9 = 4.242640687 Simplifying x + -9 = 4.242640687 Reorder the terms: -9 + x = 4.242640687 Solving -9 + x = 4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 4.242640687 + 9 Combine like terms: -9 + 9 = 0 0 + x = 4.242640687 + 9 x = 4.242640687 + 9 Combine like terms: 4.242640687 + 9 = 13.242640687 x = 13.242640687 Simplifying x = 13.242640687

Subproblem 2

x + -9 = -4.242640687 Simplifying x + -9 = -4.242640687 Reorder the terms: -9 + x = -4.242640687 Solving -9 + x = -4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = -4.242640687 + 9 Combine like terms: -9 + 9 = 0 0 + x = -4.242640687 + 9 x = -4.242640687 + 9 Combine like terms: -4.242640687 + 9 = 4.757359313 x = 4.757359313 Simplifying x = 4.757359313

Solution

The solution to the problem is based on the solutions from the subproblems. x = {13.242640687, 4.757359313}

Solution

x = {13.242640687, 4.757359313}

See similar equations:

| 9z^2-18z-16=0 | | 34+v+v+3=180 | | 6a+5b-4(5a-7b)= | | 34+v+v+3=108 | | -3+(-5)-(-7)= | | z+15=3z+11 | | 11.3=-1.5+4y | | 4q+1+106+q+20=180 | | x^2-kx+169=0 | | 6w+34+3w=7 | | .20x+.35(70)=25.5 | | 30x^2+5x=60 | | -5(5s+2)+3(s-4)= | | 39=-2w-3w-26 | | 36x^2-36x-16=0 | | 3|b|=21 | | 4q+106+q+20=180 | | 9c+2d-4(8c-8d)= | | 3y+4y-29=-71 | | 3x^2+10+15x+20=180 | | 5y-1+y+13=8y+20-6y | | 9a+10(6a-1)=equation | | 2(4x-3.7)=3x-7.4 | | 10-5(9n-9)=equation | | 3x+9+3(2x-6)= | | 8x^3+28x^2+88x=0 | | 3s-18=-10+s | | -5n+3(6+7n)=equation | | 200x-0.03=400x+0.79 | | 14x=y | | 7(1-3m)-4=equation | | 3.2=5x+5.4 |

Equations solver categories