50x+100x(x+4)=1300

Simple and best practice solution for 50x+100x(x+4)=1300 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 50x+100x(x+4)=1300 equation:


Simplifying
50x + 100x(x + 4) = 1300

Reorder the terms:
50x + 100x(4 + x) = 1300
50x + (4 * 100x + x * 100x) = 1300
50x + (400x + 100x2) = 1300

Combine like terms: 50x + 400x = 450x
450x + 100x2 = 1300

Solving
450x + 100x2 = 1300

Solving for variable 'x'.

Reorder the terms:
-1300 + 450x + 100x2 = 1300 + -1300

Combine like terms: 1300 + -1300 = 0
-1300 + 450x + 100x2 = 0

Factor out the Greatest Common Factor (GCF), '50'.
50(-26 + 9x + 2x2) = 0

Factor a trinomial.
50((-13 + -2x)(2 + -1x)) = 0

Ignore the factor 50.

Subproblem 1

Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5

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 = {-6.5, 2}

See similar equations:

| x^2+2.8x-1.96=6.69 | | F(x)=12x+20 | | (2a+5)+(3a-5)= | | -7a+9=3a+46 | | x^2+3.4x-2.89=8.89 | | 11x+y=157 | | 9m+14=68 | | 6r^2*-8= | | x^2-3x-2.25=1.25 | | 15(2)*8(2)=c(2) | | x^2-11x+30.25=0.25 | | 10z+6=11z-5 | | 1/2x^2-3=29 | | 150-3x=120-2x | | x^2-9x-20.25=42.25 | | x^2-3x-2.25=22.25 | | (4x^3/6y^5)^3 | | 5/12=x/420 | | x^2-5x-6.25=14.25 | | 0.45x=0.325 | | 3x-3(2x-11)=-3 | | 2x^2-14x+25=5 | | 17-y=23.75+-1.25y | | X+6.8=53.5 | | x/8-6=1 | | x^2-7x-12.25=16.25 | | 0=3x^2-3x-18 | | -3n-5=-3n-12 | | 6+x+5x+7= | | 11k+5=2k+1 | | 15c-18c-10c= | | 9y/1(1/3) |

Equations solver categories