0=(-2-5x)(-9x+10)

Simple and best practice solution for 0=(-2-5x)(-9x+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=(-2-5x)(-9x+10) equation: 


Simplifying
0 = (-2 + -5x)(-9x + 10)

Reorder the terms:
0 = (-2 + -5x)(10 + -9x)

Multiply (-2 + -5x) * (10 + -9x)
0 = (-2(10 + -9x) + -5x * (10 + -9x))
0 = ((10 * -2 + -9x * -2) + -5x * (10 + -9x))
0 = ((-20 + 18x) + -5x * (10 + -9x))
0 = (-20 + 18x + (10 * -5x + -9x * -5x))
0 = (-20 + 18x + (-50x + 45x2))

Combine like terms: 18x + -50x = -32x
0 = (-20 + -32x + 45x2)

Solving
0 = -20 + -32x + 45x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + 32x + -45x2 = -20 + -32x + 45x2 + 20 + 32x + -45x2

Reorder the terms:
20 + 32x + -45x2 = -20 + 20 + -32x + 32x + 45x2 + -45x2

Combine like terms: -20 + 20 = 0
20 + 32x + -45x2 = 0 + -32x + 32x + 45x2 + -45x2
20 + 32x + -45x2 = -32x + 32x + 45x2 + -45x2

Combine like terms: -32x + 32x = 0
20 + 32x + -45x2 = 0 + 45x2 + -45x2
20 + 32x + -45x2 = 45x2 + -45x2

Combine like terms: 45x2 + -45x2 = 0
20 + 32x + -45x2 = 0

Factor a trinomial.
(10 + -9x)(2 + 5x) = 0


Subproblem 1
Set the factor '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 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 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {1.111111111, -0.4}

See similar equations:

| 7x^2-4x-48=0 | | (3x-1)=21 | | 2x-8=22-4x | | ln(5x)=ln(x+12) | | 20x-91=12x+9 | | 6+x=1.5 | | 100x+1=1000 | | X^2-X-2.81=0 | | 10y+8x=76 | | -20-x=160 | | 4(x-3)+2(x+4)=2(x-3) | | cosx+-3cosx=0 | | 20-10=6y+14 | | 1/8x+2/5+1/2=3/8+3/4x | | x+(x-5)=197 | | (X-5)+x=197 | | -2(2t+10)=-32 | | (5+x)+x=29 | | 3(x+2)+2(x+7)=24 | | 2x=5y+3z | | 2(f-8)=-20 | | 9x-7x=2(-5+x) | | 5(x)=35 | | 10(s-7)=-129 | | 5x+24=51+2x | | 6x+1=72 | | 9-7-4d+2d= | | 6/x-6/x-2=-4 | | 35x-2(x-39)=48+3x | | 2(r-4)=5[r+(7)] | | 8x+24+19=15+2x+70 | | 7(7x+5)=-357 |

Equations solver categories