15x(x+3)=14x-10

Simple and best practice solution for 15x(x+3)=14x-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 15x(x+3)=14x-10 equation:


Simplifying
15x(x + 3) = 14x + -10

Reorder the terms:
15x(3 + x) = 14x + -10
(3 * 15x + x * 15x) = 14x + -10
(45x + 15x2) = 14x + -10

Reorder the terms:
45x + 15x2 = -10 + 14x

Solving
45x + 15x2 = -10 + 14x

Solving for variable 'x'.

Reorder the terms:
10 + 45x + -14x + 15x2 = -10 + 14x + 10 + -14x

Combine like terms: 45x + -14x = 31x
10 + 31x + 15x2 = -10 + 14x + 10 + -14x

Reorder the terms:
10 + 31x + 15x2 = -10 + 10 + 14x + -14x

Combine like terms: -10 + 10 = 0
10 + 31x + 15x2 = 0 + 14x + -14x
10 + 31x + 15x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
10 + 31x + 15x2 = 0

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

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 '(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 = {-1.666666667, -0.4}

See similar equations:

| 3(3c-1)-5=7c+8 | | (x+1)(x^2-x+1)-x(x+2)(x-2)=3 | | -1=6-6m-m | | cosx+sinx=0.8 | | 3p-(3+6p)=3(p-1) | | -7=4x+9 | | 8=13 | | 6e+7=13e-9 | | -4x+3x=6 | | -8-y=4 | | y=b-10forb | | 9(x-6)+6=5(x+2)-12 | | 1/3d+3/8=-2d | | 10x-28=3x | | 7y-4+y+5=33 | | 7x-3=4x+30 | | 18x-11x=-114 | | 4y-60x=48 | | 3c-5=-14 | | 7289x=10000543256709 | | 19=-10+x | | .55+.4c=3.35 | | 2d-4=6 | | 2n+3+n+4=180 | | 3(-x+5)-3=(-2x+14) | | 18-20x=20+14x | | .4c=2.15 | | 56+5x+6=180 | | y-(-4)=-5(x-2) | | (B+8)=12 | | (x^2)-14x+49=0 | | 2(x-4)=4(x-6) |

Equations solver categories