35x^2-75x=-10

Simple and best practice solution for 35x^2-75x=-10 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 35x^2-75x=-10 equation:


Simplifying
35x2 + -75x = -10

Reorder the terms:
-75x + 35x2 = -10

Solving
-75x + 35x2 = -10

Solving for variable 'x'.

Reorder the terms:
10 + -75x + 35x2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -75x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(2 + -15x + 7x2) = 0

Factor a trinomial.
5((1 + -7x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429

Subproblem 2

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

Solution

x = {0.1428571429, 2}

See similar equations:

| 4x-3=-2x+6 | | y=x*5+2 | | -10x+12x+21=-6 | | 4x+5.3y=100 | | 5v+13=-33 | | y-6.99=5.3 | | -9+(-8x)=-81 | | 6x+4=(2x-5) | | 31=-3y+4 | | =16p-24 | | 33=-3y+4 | | y=(y-82)*5+2 | | a(4+a)= | | 2u^2-5uv+2v^2=0 | | 7x-20+11=90 | | (2x+4)-(x-9)=0 | | b=1500[1+.06]5 | | (2x+1)-(x-3)=0 | | 7(tanx)=6 | | 3x(x-5)=7x^2-16xfactor | | 5-3k+7-9k=y | | 266x^2+5x=0 | | f(3m)whenf(x)=12x-3x^2 | | 32=4x+4(x-2) | | 3t+1=7 | | -3x+31=12 | | g(t)=t^2+6t-16 | | 3logx=-9 | | x^2+125= | | 3xy*5xz= | | x-3=7x+5 | | 3xy*5xy= |

Equations solver categories