12x^2+22x-70=0

Simple and best practice solution for 12x^2+22x-70=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 12x^2+22x-70=0 equation:


Simplifying
12x2 + 22x + -70 = 0

Reorder the terms:
-70 + 22x + 12x2 = 0

Solving
-70 + 22x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 11x + 6x2) = 0

Factor a trinomial.
2((-7 + -2x)(5 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-3.5, 1.666666667}

See similar equations:

| 8x+8=7x+16 | | y^2-15+50=0 | | Q-12=89 | | y^3+6y^2+9y=0 | | 7y-4=2y-20 | | 3m+5=(3+m)5 | | 2x+y=10x | | 0.25q+0.10d=8.25 | | 8b=5b-12 | | 74x=100 | | 9x-2(3x-6)=3 | | 3m+5=m+2+2m+3 | | x+3+x+3+x+3=x+3+x+2x-3 | | -5y^2+39y+8=0 | | 7y-3=8y+7 | | 3(8-4y)+5y=3 | | 2x+5(3x)+17=21 | | 4x-8y=13 | | 2+y+10=15 | | 16-81r^2=0 | | 2y+3y-3=9 | | 6(2d-4)=3(5d+1) | | E=ir | | 9m^2+11m+2=0 | | 5y^2-y-4=0 | | 2x-3(5-4x)=13 | | 11x+10=180 | | Y=x^2-7x+2 | | -2x-3(5-4x)=13 | | 4(10c-5)=3(7c) | | 2(3x+2)=76 | | y=-x^2+6x+4 |

Equations solver categories