5x^2-3x=-1

Simple and best practice solution for 5x^2-3x=-1 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 5x^2-3x=-1 equation:


Simplifying
5x2 + -3x = -1

Reorder the terms:
-3x + 5x2 = -1

Solving
-3x + 5x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + -3x + 5x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -3x + 5x2 = 0

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

Divide each side by '5'.
0.2 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.6x + -0.2 + x2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.6x + x2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.6x + x2 = 0 + -0.2
-0.6x + x2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.6x + x2 = -0.2

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.2 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.2 + 0.09

Combine like terms: -0.2 + 0.09 = -0.11
0.09 + -0.6x + x2 = -0.11

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4(3+7)-6(4x-5)=10x+3(4x-6) | | -5u+12u+9=4u+42 | | N+x+y=59 | | 3n=2n+12 | | 357=392 | | 7-4u=-13 | | 357= | | 5s-14=-18+3s | | -5sin^2(x)-4cos(x)=-4 | | 5p-17=-38+8p | | -2x-4x-24=48 | | n+m+m=20 | | 5x+2y=35 | | -x=2x-6 | | 3z-4=6-17 | | -52=3u-15u-16 | | (3x-4)+(8x-14)=180 | | 16-15u-3u=-52 | | 202=70-x | | 6=-3(22-B)+2(B-4) | | 189-w=114 | | 2v-11v=72 | | 22=-x+240 | | y-(-4)=-12 | | 2u^2-3x+1=0 | | -1-0.25w=-5 | | x+(-8)=4 | | 1/2x=-2x+10 | | -1-0.25=-5 | | 0+0.99d=10+0.89d | | (72x-65y)-(62x+15Y)= | | -x=2-6 |

Equations solver categories