(x-1)(3x+5)=0

Simple and best practice solution for (x-1)(3x+5)=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 (x-1)(3x+5)=0 equation: 


Simplifying
(x + -1)(3x + 5) = 0

Reorder the terms:
(-1 + x)(3x + 5) = 0

Reorder the terms:
(-1 + x)(5 + 3x) = 0

Multiply (-1 + x) * (5 + 3x)
(-1(5 + 3x) + x(5 + 3x)) = 0
((5 * -1 + 3x * -1) + x(5 + 3x)) = 0
((-5 + -3x) + x(5 + 3x)) = 0
(-5 + -3x + (5 * x + 3x * x)) = 0
(-5 + -3x + (5x + 3x2)) = 0

Combine like terms: -3x + 5x = 2x
(-5 + 2x + 3x2) = 0

Solving
-5 + 2x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1.666666667, 1}

See similar equations:

| (t-vy)(2t+4vy)=0 | | 5r-6=29 | | 6x-(x-1)=6 | | R^2-3r-10=0 | | y^2+17*y+c= | | 2(2-x)=3(x+3) | | 3x^3+27x+60=0 | | 8(1+5b)+5=13+5b | | 7+2x=6x-21 | | a(a+4)=45 | | 6m-4=26 | | -15x+5x-45=0 | | (x^2+bn)(2x^2+3bn)=0 | | 2(8x-1)(8x-1)=4 | | 3(x+1)=43 | | a^2+19*a+c= | | 600-x=3x+28 | | (2t+uv)(t+3uv)=0 | | 5(x-1)=4(x-2) | | 3(x+2)=(x+1) | | (x^2+y)(2x^2-5y)=0 | | X^6+5x^4-9x^2-45=0 | | x^2=3-3x | | 66.6x-5=7 | | 180=5x+10a | | 2x+5=4-x | | 0.15x+0.80(160-x)=-0.45x | | (x^2+4x-6)-(4x^2+6x+2)=0 | | -0.10(20)+0.60x=0.05(x-18) | | 3(x-8)=-4 | | (7a^2+3b-7)-(7a^2-b)=0 | | 24=6(x-4) |

Equations solver categories