-10x^2-65x-75=0

Simple and best practice solution for -10x^2-65x-75=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^2-65x-75=0 equation:


Simplifying
-10x2 + -65x + -75 = 0

Reorder the terms:
-75 + -65x + -10x2 = 0

Solving
-75 + -65x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-5'.
-5(15 + 13x + 2x2) = 0

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

Ignore the factor -5.

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-5, -1.5}

See similar equations:

| 10-3r+5+2r= | | h(t)=V*t-16*t^2 | | x-(x+17)=2(11-3x) | | 5=v/20 | | x+6=3-2 | | W-w=3 | | 5n=250 | | 7x+1=15x+3 | | 2(x+3)=6(3) | | f+g/2 | | 1/6+5/12x=5/6 | | -28+15-22z=33 | | (a-5)-3=12 | | 2/3(v-6)=1/3(v+6) | | -(6a+1)+2(3-a)=a | | 14.3-(-21.2)= | | 2(4x+2)=8x+4 | | 4(3+y)=-y+8 | | In=4 | | -15+-18= | | 0+(-10)= | | Y+5=5+y | | 18x^2+11x+15=0 | | 6n-10=22 | | Sinx=4 | | 4(3+y)=y+8 | | 17-5(3x+1)=10*10 | | 4p-2=35 | | X/4=17/2 | | -95-100= | | (95)-100= | | 2(-4)=22 |

Equations solver categories