12x+14=2x^2

Simple and best practice solution for 12x+14=2x^2 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 12x+14=2x^2 equation:


Simplifying
12x + 14 = 2x2

Reorder the terms:
14 + 12x = 2x2

Solving
14 + 12x = 2x2

Solving for variable 'x'.

Combine like terms: 2x2 + -2x2 = 0
14 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 6x + -1x2) = 0

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

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

x = {7, -1}

See similar equations:

| 8x-2=34 | | 109=73k | | 10x-6-5x=44.5 | | 1+7m-11=10+12m | | 13x^2-8xy+7y^2-45=0 | | X^2+5i=0 | | 3+2+8t=t^2-3t-12 | | 2xn=36 | | 400x-0.24=600x+0.64 | | 3xsquare+35x+29=3(x+3) | | 5x+7z=5+2y | | 25.8-k=45.4 | | 14x^2+8=0 | | 46.3+k=-24.9 | | 48z^5+68Z^4+20z^3=0 | | x^4-2x^3-10x-11=0 | | log(3x+7)+log(x-2)=1 | | 115-8f=19 | | (0)=5x-8 | | 3xsquared+35x+29=3(x+3) | | 15t^2-15t-450=0 | | (x^2)-x-25=0 | | 3x+12=2x+28 | | .08x+.06y+.09z=4050 | | 2.7=logy | | Y=-3(0.5)+3 | | -1.333y-6=-11 | | 3y=4x+7z-8 | | 6y^2-3y-9=0 | | 5y+6=4y-8 | | 2x+2(3)=8 | | 7-3*4+6= |

Equations solver categories