18000=30x^2-24x+15500

Simple and best practice solution for 18000=30x^2-24x+15500 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 18000=30x^2-24x+15500 equation:


Simplifying
18000 = 30x2 + -24x + 15500

Reorder the terms:
18000 = 15500 + -24x + 30x2

Solving
18000 = 15500 + -24x + 30x2

Solving for variable 'x'.

Combine like terms: 18000 + -15500 = 2500
2500 + 24x + -30x2 = 15500 + -24x + 30x2 + -15500 + 24x + -30x2

Reorder the terms:
2500 + 24x + -30x2 = 15500 + -15500 + -24x + 24x + 30x2 + -30x2

Combine like terms: 15500 + -15500 = 0
2500 + 24x + -30x2 = 0 + -24x + 24x + 30x2 + -30x2
2500 + 24x + -30x2 = -24x + 24x + 30x2 + -30x2

Combine like terms: -24x + 24x = 0
2500 + 24x + -30x2 = 0 + 30x2 + -30x2
2500 + 24x + -30x2 = 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
2500 + 24x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1250 + 12x + -15x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1250 + 12x + -15x2)' equal to zero and attempt to solve: Simplifying 1250 + 12x + -15x2 = 0 Solving 1250 + 12x + -15x2 = 0 Begin completing the square. Divide all terms by -15 the coefficient of the squared term: Divide each side by '-15'. -83.33333333 + -0.8x + x2 = 0 Move the constant term to the right: Add '83.33333333' to each side of the equation. -83.33333333 + -0.8x + 83.33333333 + x2 = 0 + 83.33333333 Reorder the terms: -83.33333333 + 83.33333333 + -0.8x + x2 = 0 + 83.33333333 Combine like terms: -83.33333333 + 83.33333333 = 0.00000000 0.00000000 + -0.8x + x2 = 0 + 83.33333333 -0.8x + x2 = 0 + 83.33333333 Combine like terms: 0 + 83.33333333 = 83.33333333 -0.8x + x2 = 83.33333333 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = 83.33333333 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = 83.33333333 + 0.16 Combine like terms: 83.33333333 + 0.16 = 83.49333333 0.16 + -0.8x + x2 = 83.49333333 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = 83.49333333 Calculate the square root of the right side: 9.13746865 Break this problem into two subproblems by setting (x + -0.4) equal to 9.13746865 and -9.13746865.

Subproblem 1

x + -0.4 = 9.13746865 Simplifying x + -0.4 = 9.13746865 Reorder the terms: -0.4 + x = 9.13746865 Solving -0.4 + x = 9.13746865 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = 9.13746865 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = 9.13746865 + 0.4 x = 9.13746865 + 0.4 Combine like terms: 9.13746865 + 0.4 = 9.53746865 x = 9.53746865 Simplifying x = 9.53746865

Subproblem 2

x + -0.4 = -9.13746865 Simplifying x + -0.4 = -9.13746865 Reorder the terms: -0.4 + x = -9.13746865 Solving -0.4 + x = -9.13746865 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = -9.13746865 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = -9.13746865 + 0.4 x = -9.13746865 + 0.4 Combine like terms: -9.13746865 + 0.4 = -8.73746865 x = -8.73746865 Simplifying x = -8.73746865

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.53746865, -8.73746865}

Solution

x = {9.53746865, -8.73746865}

See similar equations:

| 3(x+2)-2(x-1)=5(x+2)+6 | | 4+0.3t=14.8 | | 125=100*((9+k/k)^1/2) | | 2x^2-24x=-64 | | 20+8x=92 | | 125=100*(9+k/k)^1/2 | | -5/9r=-15 | | 3600=10x^2-94x-300 | | 2x^2=2x-64 | | 16-(6X+8)=0 | | 8x+3(x+7)=4(3x+2) | | x/6=-16 | | 7(6X+8)=0 | | -47-2x=99-9x | | -5-x=-2x-6 | | 9u+2-3(-3-2)=2(u-5) | | n+46=47 | | 195=80x-5x^2 | | 15+h=-9+5h | | 2y^2+y-10= | | 4+(-8)-16-(-2)= | | 7.5+0.5m=30m | | 1.5625=(9+k)/k | | s/4=15 | | 0.06x-0.01y=3.3 | | 38=13b-14 | | b/3=12 | | 6(2z+3)+3z=22 | | 2(b+4)-(9+b)=-34 | | 2(9s+3)-3s=3(5s+2)-10 | | 6x-4-5x=0 | | y=-x^2+4x+7 |

Equations solver categories