49x^2+90x-22=0

Simple and best practice solution for 49x^2+90x-22=0 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 49x^2+90x-22=0 equation:


Simplifying
49x2 + 90x + -22 = 0

Reorder the terms:
-22 + 90x + 49x2 = 0

Solving
-22 + 90x + 49x2 = 0

Solving for variable 'x'.

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

Divide each side by '49'.
-0.4489795918 + 1.836734694x + x2 = 0

Move the constant term to the right:

Add '0.4489795918' to each side of the equation.
-0.4489795918 + 1.836734694x + 0.4489795918 + x2 = 0 + 0.4489795918

Reorder the terms:
-0.4489795918 + 0.4489795918 + 1.836734694x + x2 = 0 + 0.4489795918

Combine like terms: -0.4489795918 + 0.4489795918 = 0.0000000000
0.0000000000 + 1.836734694x + x2 = 0 + 0.4489795918
1.836734694x + x2 = 0 + 0.4489795918

Combine like terms: 0 + 0.4489795918 = 0.4489795918
1.836734694x + x2 = 0.4489795918

The x term is 1.836734694x.  Take half its coefficient (0.918367347).
Square it (0.8433985840) and add it to both sides.

Add '0.8433985840' to each side of the equation.
1.836734694x + 0.8433985840 + x2 = 0.4489795918 + 0.8433985840

Reorder the terms:
0.8433985840 + 1.836734694x + x2 = 0.4489795918 + 0.8433985840

Combine like terms: 0.4489795918 + 0.8433985840 = 1.2923781758
0.8433985840 + 1.836734694x + x2 = 1.2923781758

Factor a perfect square on the left side:
(x + 0.918367347)(x + 0.918367347) = 1.2923781758

Calculate the square root of the right side: 1.136828121

Break this problem into two subproblems by setting 
(x + 0.918367347) equal to 1.136828121 and -1.136828121.

Subproblem 1

x + 0.918367347 = 1.136828121 Simplifying x + 0.918367347 = 1.136828121 Reorder the terms: 0.918367347 + x = 1.136828121 Solving 0.918367347 + x = 1.136828121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.918367347' to each side of the equation. 0.918367347 + -0.918367347 + x = 1.136828121 + -0.918367347 Combine like terms: 0.918367347 + -0.918367347 = 0.000000000 0.000000000 + x = 1.136828121 + -0.918367347 x = 1.136828121 + -0.918367347 Combine like terms: 1.136828121 + -0.918367347 = 0.218460774 x = 0.218460774 Simplifying x = 0.218460774

Subproblem 2

x + 0.918367347 = -1.136828121 Simplifying x + 0.918367347 = -1.136828121 Reorder the terms: 0.918367347 + x = -1.136828121 Solving 0.918367347 + x = -1.136828121 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.918367347' to each side of the equation. 0.918367347 + -0.918367347 + x = -1.136828121 + -0.918367347 Combine like terms: 0.918367347 + -0.918367347 = 0.000000000 0.000000000 + x = -1.136828121 + -0.918367347 x = -1.136828121 + -0.918367347 Combine like terms: -1.136828121 + -0.918367347 = -2.055195468 x = -2.055195468 Simplifying x = -2.055195468

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.218460774, -2.055195468}

See similar equations:

| c=15.57m | | 7ab*4ab= | | 6/2(1+2)=a | | 34.1/(-5.5)= | | 34.1(-5.5)= | | 26+(17x)=-42 | | (8x)+(6-x)=34 | | 4(t-3)-3(t-2)=2t+8 | | 2(20+n)=52 | | y+5.3=2.6 | | u+6=15 | | x+2.7=3.1 | | 25y-24y=4+9 | | -24b=672 | | 2(12+x)=52 | | y-12=1 | | 8-(7x)=-29 | | -12=x^2+1 | | -12=x^3+1 | | 2(7-x)=43 | | 1=v-6 | | 8.6z-7.6z-1.7=-7.6 | | 13+(4x)=-91 | | z+3(2+4z)=6(z+1)+5z | | 4x-(2x+10)=4 | | 9=x^3+1 | | 7x-9+3x=2x+42-9x | | .75+.2=.94 | | 9+(-8x)=-7 | | -8+9=-7 | | -10+y+2y+-10+y+y+2(-10+y)+10=180 | | -11=5w+5 |

Equations solver categories