0=-15x^2-10x+40

Simple and best practice solution for 0=-15x^2-10x+40 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 0=-15x^2-10x+40 equation: 


Simplifying
0 = -15x2 + -10x + 40

Reorder the terms:
0 = 40 + -10x + -15x2

Solving
0 = 40 + -10x + -15x2

Solving for variable 'x'.

Combine like terms: 0 + -40 = -40
-40 + 10x + 15x2 = 40 + -10x + -15x2 + -40 + 10x + 15x2

Reorder the terms:
-40 + 10x + 15x2 = 40 + -40 + -10x + 10x + -15x2 + 15x2

Combine like terms: 40 + -40 = 0
-40 + 10x + 15x2 = 0 + -10x + 10x + -15x2 + 15x2
-40 + 10x + 15x2 = -10x + 10x + -15x2 + 15x2

Combine like terms: -10x + 10x = 0
-40 + 10x + 15x2 = 0 + -15x2 + 15x2
-40 + 10x + 15x2 = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
-40 + 10x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + 2x + 3x2) = 0

Factor a trinomial.
5((-2 + -1x)(4 + -3x)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-2, 1.333333333}

See similar equations:

| (11b-9)-5(2b+3)=-3 | | 4x-2+6-5x=10-3+2x | | 2x^2-36=60 | | (2x^3)-4x=0 | | -13x+7(3x-1)=-63 | | 4x+3y=402 | | g(x)=0.25(8) | | 128^-2/7 | | 4x^4+11x^2+9=0 | | 0.4x-8=0.7x+1 | | 1-2x=1+x^2 | | 5m^2+11m+15=0 | | 4/7w-3=7 | | 3-2x+2=12 | | (y-2)^(1/2) | | C+2=C | | y^(1/2)=9 | | 8.6×51/4 | | 6.17=x/100-x | | X^3+3x+14=0 | | 3z+z+4=8 | | -9(6+u)-2y=-10 | | f(x)=18x^5 | | -41-50-60= | | -19-73= | | (9/z)-(3/-z) | | -40-35= | | -8-27= | | -23-28= | | 3(2+2)=12 | | 6y+4=6(y+4) | | 508-678= |

Equations solver categories