5x^2-3x-14=0

Simple and best practice solution for 5x^2-3x-14=0 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 5x^2-3x-14=0 equation: 


Simplifying
5x2 + -3x + -14 = 0

Reorder the terms:
-14 + -3x + 5x2 = 0

Solving
-14 + -3x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(2 + -1x) = 0


Subproblem 1
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

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 = {-1.4, 2}

See similar equations:

| 6(-7+4)=-18 | | 45-4x=5x+24 | | 7x-3=8x+3 | | -3p+6+4p=15 | | 4(2-4y)=8y+36 | | 5-9x=210-44x | | -10h-8=10+8h | | 24m-36=2m+8 | | -121-9x=9x+23 | | -4y-12=6y+28 | | 2y-(4-y)=-y+1 | | 2x^2-17x+8=0 | | -8=0.44r | | -7(x+3)-2x=8(x-4) | | 5(x+4)=7x+8-2x+12 | | 4t-7=5(t+4) | | 7x*3x=0 | | 6x-3=6(x+2) | | -36x^2+57x+54=0 | | -5(t+1)=0 | | 3.9x=2.2x+13.6 | | 3(8+7x)=123 | | 3(x-6)+4x=5(x+6) | | 2(x-1)-4=0 | | -3x+11=-4 | | 46-11=5(x-4) | | y=13+9x | | 3x-5x+4=4x+34 | | 3x^2+20x-63=0 | | x+24+2x=-11-2x-15 | | -4x=-2x-8 | | x^3-5x^2-6x=0 |

Equations solver categories