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

(x-2)(5x+2)=180

We move all terms to the left:

(x-2)(5x+2)-(180)=0

We multiply parentheses ..

(+5x^2+2x-10x-4)-180=0

We get rid of parentheses

5x^2+2x-10x-4-180=0

We add all the numbers together, and all the variables

5x^2-8x-184=0

a = 5; b = -8; c = -184;

Δ = b^{2}-4ac

Δ = -8^{2}-4·5·(-184)

Δ = 3744

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3744}=\sqrt{144*26}=\sqrt{144}*\sqrt{26}=12\sqrt{26}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-12\sqrt{26}}{2*5}=\frac{8-12\sqrt{26}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+12\sqrt{26}}{2*5}=\frac{8+12\sqrt{26}}{10} $

| 3+(3)/(2)x+4=4x-(5)/(2)x | | 3(2u+8)=30 | | (90x-0.5x^2)-(50x+300)=15000 | | Q=400-2x | | (90x-0.5x^2)-(50x+300)=1500 | | 0=6s^2-6s+7 | | 236=40-u | | 25+8x=47 | | w/2+3=8 | | -16=v+3 | | 3x-(5x-9)=9 | | 0.4t+0.19=t-1.31 | | 2.2x+0.47=1.6x+0.77 | | 1a(0)?4=9 | | 1a0?4=9 | | 6x+2(x+5)=7 | | -25n-15=10-20n | | 11=2(w-5)-5w | | v=6 ( 2 )+ 1 | | 1.4x+1.08=1.2-0.32 | | 10x-(5+4x)=x+1 | | 12-0.75x=18-15x | | xx4=240 | | Y-(-12)=7/2(x-10) | | 3y+17= | | 5m-5=7m+7-2m | | 2x-6/4-8=50 | | (7t?21)+(t+4)=15(7t-21)+(t+4)=15 | | 2.6y+12=-1.4y+52 | | 2(y=6)=3(y-4)-y | | 6(2y-3)=6(2y?3)=66 | | -8=5x=37 |

- Equations solver - equations involving one unknown
- Quadratic equations solver
- Percentage Calculator - Step by step
- Derivative calculator - step by step
- Graphs of functions
- Factorization
- Greatest Common Factor
- Least Common Multiple
- System of equations - step by step solver
- Fractions calculator - step by step
- Theory in mathematics
- Roman numerals conversion
- Tip calculator
- Numbers as decimals, fractions, percentages
- More or less than - questions