0=-5x^2+5x+10

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


Simplifying
0 = -5x2 + 5x + 10

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

Solving
0 = 10 + 5x + -5x2

Solving for variable 'x'.

Combine like terms: 0 + -10 = -10
-10 + -5x + 5x2 = 10 + 5x + -5x2 + -10 + -5x + 5x2

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

Combine like terms: 10 + -10 = 0
-10 + -5x + 5x2 = 0 + 5x + -5x + -5x2 + 5x2
-10 + -5x + 5x2 = 5x + -5x + -5x2 + 5x2

Combine like terms: 5x + -5x = 0
-10 + -5x + 5x2 = 0 + -5x2 + 5x2
-10 + -5x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
-10 + -5x + 5x2 = 0

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

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

Ignore the factor 5.

Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 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 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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 = {-1, 2}

See similar equations:

| 2.7=5.9-0.8x | | -3-4n-1=-6+n | | 38-3x=10-10x | | xy-2x+3y-11=0 | | X+.6X=240 | | 9m+8=98 | | (10.4)25= | | 7x-10=11x-42 | | 25(2*2)= | | 0=-4.9x^2+5x+10 | | -5-7(4-3b)=-159 | | 9(b+1)=63 | | 15s-12-s=5 | | 6y-15=39 | | (10.4)25=10 | | 8(6x+4)=320 | | -16=8(5+7k) | | X^2-5x+13=7 | | -5(7r-7)-5r=-125 | | x^4-12x^3+14x^2-14x+5=0 | | 25(2.2)= | | -3(0+3)=3(y+1-4) | | 3(x+6)=2(2x+11) | | 4(6.5)= | | (4-i)(6+i)=0 | | -8(6-5x)+3x=167 | | 2q+5=13 | | 10x=5x-6 | | 8-5y=-18 | | 4b+x+2= | | 6v-4=11 | | 6-2(x+1)=3(1-2x) |

Equations solver categories