3x^2+13x-7=3

Simple and best practice solution for 3x^2+13x-7=3 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 3x^2+13x-7=3 equation:


Simplifying
3x2 + 13x + -7 = 3

Reorder the terms:
-7 + 13x + 3x2 = 3

Solving
-7 + 13x + 3x2 = 3

Solving for variable 'x'.

Reorder the terms:
-7 + -3 + 13x + 3x2 = 3 + -3

Combine like terms: -7 + -3 = -10
-10 + 13x + 3x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-10 + 13x + 3x2 = 0

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

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-5, 0.6666666667}

See similar equations:

| u-7u=-7u+7 | | 4x-9=x-15 | | 14x^2+19x+5=8 | | 8-X=9X+8 | | 7+6x=9x^2 | | w-3w= | | 5r+r= | | -2x-3(4-2x)=2(x-3)+2 | | 3x^2-10=0 | | 5x+1=4x+7 | | 4x=6x-44 | | 0.11=-3(1.93+m) | | x^2+9x=0 | | 11=-16t^2+10t+12 | | -18z^5+18z^4+8z^3= | | 3x^2=10 | | 0.2(x-4)=3.6 | | 4x^2=-12 | | 2(x-7)=12 | | 8(x+8)+x=3(x+4)-2 | | 4x-10=-4x+22 | | 11+7n-21=24 | | 2(x-2)+3(2x-5)=5 | | 4x^2+12=0 | | 5(3x+6)=x+2 | | (4x-5)(4x-5)=0 | | 5(x+3)+x=3(x+3)+7 | | 2(x+5)+5(x+4)=9 | | (4x+5)(4x+5)=0 | | 3n-4=9n+14 | | (4x+5)=(4x+5) | | 4x-2+9=19 |

Equations solver categories