10x^2-5x-140=0

Simple and best practice solution for 10x^2-5x-140=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 10x^2-5x-140=0 equation:


Simplifying
10x2 + -5x + -140 = 0

Reorder the terms:
-140 + -5x + 10x2 = 0

Solving
-140 + -5x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-28 + -1x + 2x2) = 0

Factor a trinomial.
5((-7 + -2x)(4 + -1x)) = 0

Ignore the factor 5.

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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-3.5, 4}

See similar equations:

| 18z+24= | | 10x^2-5x-14=0 | | 3(5+2x)=30 | | 7b^2-3b-10=0 | | 48+48= | | 5v^2+v=0 | | X^2+10x+y^2-20y=-125 | | 48*48= | | 4w+d=17 | | (5y-2)/4=3 | | 4e+7f= | | 5p^2+47p+18=0 | | 6x+7+7x=7 | | F(x)=2x^2-6x+4 | | y=-16t^2+48t+64 | | -6x(x-4)=3(8-2x) | | 20x^3+540=0 | | (2x-3)/5=4 | | (t-5)/2=3 | | -6x+24=24-6x | | 5/6÷7/10 | | 7p^2+25p+12=0 | | 5/6÷7/10= | | y=-4/9-3 | | 18=32+159x | | 6x+13=4x+69 | | 5sin^2t(cost)=0 | | X+-11=-73 | | 25x^6-15x^5+20x^3= | | 0.018=0.159x+0.032 | | 13-x=28 | | x^2-8x-32y+48=0 |

Equations solver categories