210+280x=4x-90x^2

Simple and best practice solution for 210+280x=4x-90x^2 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 210+280x=4x-90x^2 equation: 


Simplifying
210 + 280x = 4x + -90x2

Solving
210 + 280x = 4x + -90x2

Solving for variable 'x'.

Combine like terms: 280x + -4x = 276x
210 + 276x + 90x2 = 4x + -90x2 + -4x + 90x2

Reorder the terms:
210 + 276x + 90x2 = 4x + -4x + -90x2 + 90x2

Combine like terms: 4x + -4x = 0
210 + 276x + 90x2 = 0 + -90x2 + 90x2
210 + 276x + 90x2 = -90x2 + 90x2

Combine like terms: -90x2 + 90x2 = 0
210 + 276x + 90x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(35 + 46x + 15x2) = 0

Factor a trinomial.
6((5 + 3x)(7 + 5x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {-1.666666667, -1.4}

See similar equations:

| 5a-b=7 | | (-2)+0+8= | | 2/w=x/5 | | 9x^4-3x^2+12x^2-4=0 | | -4(3x-4)=-20 | | -9+g=-31 | | (-5+8i)(2+6i)= | | 5x^2=-25x-20 | | (-2)+(-6)+7+(-4)= | | 4(1+5n)-8n=-6n-14 | | 11+9=20 | | 8/9=-6d | | -3(x-1)+4=2(x+3)-4 | | 12=3c-12+5c | | 120-3x=42x+15 | | 5x+1=14x-64 | | 5-9x=7x+22 | | X^2-2x=125 | | P/6=4 | | 135-7x=20x+15 | | 7-9x=107-44x | | y=-x^2+4x+3 | | 42=b-9 | | 8g+22-3g=37 | | 3x-5=-2(x+1) | | 1/3(t+7)=49 | | 15.5x+6x-11.5= | | X^2y^3-8x^2+6y^2=15 | | x^2-6x-10=1 | | 83n-09= | | 3.6z=7.2 | | 0+2+(-1)+(-8)+(-3)= |

Equations solver categories