4x^2+11x+15=2x+6

Simple and best practice solution for 4x^2+11x+15=2x+6 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+11x+15=2x+6 equation: 


Simplifying
4x2 + 11x + 15 = 2x + 6

Reorder the terms:
15 + 11x + 4x2 = 2x + 6

Reorder the terms:
15 + 11x + 4x2 = 6 + 2x

Solving
15 + 11x + 4x2 = 6 + 2x

Solving for variable 'x'.

Reorder the terms:
15 + -6 + 11x + -2x + 4x2 = 6 + 2x + -6 + -2x

Combine like terms: 15 + -6 = 9
9 + 11x + -2x + 4x2 = 6 + 2x + -6 + -2x

Combine like terms: 11x + -2x = 9x
9 + 9x + 4x2 = 6 + 2x + -6 + -2x

Reorder the terms:
9 + 9x + 4x2 = 6 + -6 + 2x + -2x

Combine like terms: 6 + -6 = 0
9 + 9x + 4x2 = 0 + 2x + -2x
9 + 9x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 9x + 4x2 = 0

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

Divide each side by '4'.
2.25 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + 2.25x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + 2.25x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 2.25x + x2 = 0 + -2.25
2.25x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
2.25x + x2 = -2.25

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -2.25 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -2.25 + 1.265625

Combine like terms: -2.25 + 1.265625 = -0.984375
1.265625 + 2.25x + x2 = -0.984375

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| r-9.7=5.1 | | 4(x+5)+2x=50 | | 2x=4x-16 | | 0.007(x+3)=0.008x+0.019 | | 8(6b+7)=-30+5b | | -3x+18+5x=-x | | 37+5b=6(b+5) | | 6y-8+5=0 | | 0.5q-4=5 | | 45-(3x-.56)= | | 0.15x+0.05(4-x)=0.10(16) | | -7(6+3n)=-16+5n | | 32-4x=-5(4x+5)-5(-8-3x) | | 40X+50=Y | | 4x^2+x-4=1 | | -5b+9=71 | | b-8=-12 | | (9r^4-37r^2).25r= | | 0.4m-0.7=22 | | 3(2p+6)-4(p-8)= | | n*1=5 | | 0.14y+0.09(y+5000)=2520 | | 9x-(8x+6)=3x-40 | | 17-3k=8k+7(6+2k) | | 20x+16=25 | | -115b+80=-489 | | 5m+(m+1)=23 | | 8n-3(n-1)=-5+33 | | 3(h-2)=18 | | g^3(3g^3-13)= | | -115b+80=-89 | | -115b+80=-49 |

Equations solver categories