(2x+1)(3x-5)=

Simple and best practice solution for (2x+1)(3x-5)= 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 (2x+1)(3x-5)= equation:


Simplifying
(2x + 1)(3x + -5) = 0

Reorder the terms:
(1 + 2x)(3x + -5) = 0

Reorder the terms:
(1 + 2x)(-5 + 3x) = 0

Multiply (1 + 2x) * (-5 + 3x)
(1(-5 + 3x) + 2x * (-5 + 3x)) = 0
((-5 * 1 + 3x * 1) + 2x * (-5 + 3x)) = 0
((-5 + 3x) + 2x * (-5 + 3x)) = 0
(-5 + 3x + (-5 * 2x + 3x * 2x)) = 0
(-5 + 3x + (-10x + 6x2)) = 0

Combine like terms: 3x + -10x = -7x
(-5 + -7x + 6x2) = 0

Solving
-5 + -7x + 6x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

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

Solution

x = {-0.5, 1.666666667}

See similar equations:

| -15+39=-4(x+1) | | 19n-9-19n+3=n-2 | | x^2=216x | | -3x-10x-14=-12 | | x^3+2x^2-2=0 | | 3x(3x)-8x=16 | | 6(x-3)+2=4x-16+2x | | 5n^2-53n+30=0 | | R-14=2s | | x+2+3=2x-4 | | 5x+8=13x-16 | | 0.5+-3+5=0 | | 5n+2-2n=-4 | | (-2+5i)(-1+5i)= | | -2*(5x+3)=4*(x-16) | | 2x+4x+3x=63 | | 4x-x=4x+7 | | k(k)+6=6 | | 0.833x+7=17 | | -2+7b= | | 8n+6-9n=2-n-15 | | 14x-14x=156 | | 13x-(x^2)=30 | | -2(3y-4)-y=-3(y-5) | | 5x-35=2x-5 | | -2+4b= | | X^2+12x+72=180 | | y^2=6-0 | | 12x-32=12 | | 3x*3x-8x=16 | | 3x+4x+9x=54 | | 8(x+5)-(3x-1)=5 |

Equations solver categories