2w^2=13w+7

Simple and best practice solution for 2w^2=13w+7 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 2w^2=13w+7 equation:


Simplifying
2w2 = 13w + 7

Reorder the terms:
2w2 = 7 + 13w

Solving
2w2 = 7 + 13w

Solving for variable 'w'.

Reorder the terms:
-7 + -13w + 2w2 = 7 + 13w + -7 + -13w

Reorder the terms:
-7 + -13w + 2w2 = 7 + -7 + 13w + -13w

Combine like terms: 7 + -7 = 0
-7 + -13w + 2w2 = 0 + 13w + -13w
-7 + -13w + 2w2 = 13w + -13w

Combine like terms: 13w + -13w = 0
-7 + -13w + 2w2 = 0

Factor a trinomial.
(-1 + -2w)(7 + -1w) = 0

Subproblem 1

Set the factor '(-1 + -2w)' equal to zero and attempt to solve: Simplifying -1 + -2w = 0 Solving -1 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2w = 0 + 1 -2w = 0 + 1 Combine like terms: 0 + 1 = 1 -2w = 1 Divide each side by '-2'. w = -0.5 Simplifying w = -0.5

Subproblem 2

Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7

Solution

w = {-0.5, 7}

See similar equations:

| x^2+24x+127=0 | | 4x+2=180 | | 5x-4y=35 | | 7=-4x-3 | | 4x-9=4-8 | | 0.6x+13=x+0.5 | | 1x+5x-4=70 | | 2g+4=3G+4 | | X^2-4.5x+2.1=0 | | 1+(7x-3)=7(-3x+5)+2 | | (6x+3)-(4x+2)= | | 4a^2+9ab+5b^2=0 | | -4m-14=18 | | 16d^2+40d+25= | | 16x^2+3-16x= | | D=-5t^2+18t+8 | | (8x+34)=(7x-4) | | 12x^2+5-19x= | | 4-9(-2y-3)=-5(2y+3)-2 | | y^2-6y-263=0 | | 25z^2-30z+9= | | 3-3*6=2 | | 12x^2+2+11x= | | 3(x+3)=7x-13 | | (a+6a+a+6a)+(-3+6-3+6)= | | -x^3+12x^2+4x-24=0 | | 4e^2-20e+25= | | 6x-104=70 | | 15x^2+20+37x= | | 12a-4b=3a+2b | | 6x^2+10+19x= | | 2(2x+3)=118 |

Equations solver categories