4x^2+20x-15=20-30x

Simple and best practice solution for 4x^2+20x-15=20-30x 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+20x-15=20-30x equation:


Simplifying
4x2 + 20x + -15 = 20 + -30x

Reorder the terms:
-15 + 20x + 4x2 = 20 + -30x

Solving
-15 + 20x + 4x2 = 20 + -30x

Solving for variable 'x'.

Reorder the terms:
-15 + -20 + 20x + 30x + 4x2 = 20 + -30x + -20 + 30x

Combine like terms: -15 + -20 = -35
-35 + 20x + 30x + 4x2 = 20 + -30x + -20 + 30x

Combine like terms: 20x + 30x = 50x
-35 + 50x + 4x2 = 20 + -30x + -20 + 30x

Reorder the terms:
-35 + 50x + 4x2 = 20 + -20 + -30x + 30x

Combine like terms: 20 + -20 = 0
-35 + 50x + 4x2 = 0 + -30x + 30x
-35 + 50x + 4x2 = -30x + 30x

Combine like terms: -30x + 30x = 0
-35 + 50x + 4x2 = 0

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

Divide each side by '4'.
-8.75 + 12.5x + x2 = 0

Move the constant term to the right:

Add '8.75' to each side of the equation.
-8.75 + 12.5x + 8.75 + x2 = 0 + 8.75

Reorder the terms:
-8.75 + 8.75 + 12.5x + x2 = 0 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + 12.5x + x2 = 0 + 8.75
12.5x + x2 = 0 + 8.75

Combine like terms: 0 + 8.75 = 8.75
12.5x + x2 = 8.75

The x term is 12.5x.  Take half its coefficient (6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
12.5x + 39.0625 + x2 = 8.75 + 39.0625

Reorder the terms:
39.0625 + 12.5x + x2 = 8.75 + 39.0625

Combine like terms: 8.75 + 39.0625 = 47.8125
39.0625 + 12.5x + x2 = 47.8125

Factor a perfect square on the left side:
(x + 6.25)(x + 6.25) = 47.8125

Calculate the square root of the right side: 6.914658343

Break this problem into two subproblems by setting 
(x + 6.25) equal to 6.914658343 and -6.914658343.

Subproblem 1

x + 6.25 = 6.914658343 Simplifying x + 6.25 = 6.914658343 Reorder the terms: 6.25 + x = 6.914658343 Solving 6.25 + x = 6.914658343 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + x = 6.914658343 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + x = 6.914658343 + -6.25 x = 6.914658343 + -6.25 Combine like terms: 6.914658343 + -6.25 = 0.664658343 x = 0.664658343 Simplifying x = 0.664658343

Subproblem 2

x + 6.25 = -6.914658343 Simplifying x + 6.25 = -6.914658343 Reorder the terms: 6.25 + x = -6.914658343 Solving 6.25 + x = -6.914658343 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + x = -6.914658343 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + x = -6.914658343 + -6.25 x = -6.914658343 + -6.25 Combine like terms: -6.914658343 + -6.25 = -13.164658343 x = -13.164658343 Simplifying x = -13.164658343

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.664658343, -13.164658343}

See similar equations:

| 1=-3(1)+4 | | 6n+4n+2n= | | -6(1+7b)=-40-8b | | 10x+4x-(x+3)=10 | | 6x^2=32x^4 | | 99/45 | | -3x+4x=7+x+6 | | 6n^2=54 | | s-2x=-3+5r | | 25=625/x | | 1/6m+2/5m+4/m | | 60+42.95=57.95 | | 2x+3x-4(x+1)=11 | | -4x+5/x+9=6x+85/x+9 | | 7z+4z=9z-4+4z | | (x^3-9x^2)-(x+9)=0 | | a=(v1-v0)/t | | K/3+2=-8 | | 7x+4(4x+12)=186 | | 3(u+2)+u=4(u-1)+10 | | 8x-2=19+5x | | 4x+2x-7+9+x=5x-x | | 16.39=3g+3.67 | | 4x-7=2x-19 | | (6x-33)=(3x+30) | | -5(3-3x)=0 | | 7/2-13/4x=-13/8 | | a=v1-v0/t | | -y/2-5=-14 | | -7x+2=7x+58 | | 25x^2+45x+18=0 | | 1.16g-5=.22 |

Equations solver categories