(2x+5)(3x-6)=0

Simple and best practice solution for (2x+5)(3x-6)=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 (2x+5)(3x-6)=0 equation: 


Simplifying
(2x + 5)(3x + -6) = 0

Reorder the terms:
(5 + 2x)(3x + -6) = 0

Reorder the terms:
(5 + 2x)(-6 + 3x) = 0

Multiply (5 + 2x) * (-6 + 3x)
(5(-6 + 3x) + 2x * (-6 + 3x)) = 0
((-6 * 5 + 3x * 5) + 2x * (-6 + 3x)) = 0
((-30 + 15x) + 2x * (-6 + 3x)) = 0
(-30 + 15x + (-6 * 2x + 3x * 2x)) = 0
(-30 + 15x + (-12x + 6x2)) = 0

Combine like terms: 15x + -12x = 3x
(-30 + 3x + 6x2) = 0

Solving
-30 + 3x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + x + 2x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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 = {-2.5, 2}

See similar equations:

| .25y-3=-7 | | 10000=[1+.09(6)] | | 81=-5x-6(-x-15) | | 22+5x=-38+7x | | 3y-24=y+30 | | 8x-2(3x-5)=-3x+15 | | 6(9x+8)=-438 | | 1500=P[1+.025(6)] | | 5-2(x+3)=-7+3(x-3) | | cos(x)+cos(2x)+cos(3x)+cos(4x)+cos(5x)+cos(6x)=0 | | 94=-76-10x | | 4c+6=6c+4 | | .5p=-12 | | 5x-3(-x+13)=-95 | | 2y=7x+z | | -12+-8+-3+6+15= | | -d+0.7=0.9 | | -5-(x+8)+6=4(x+2) | | 3x^2+ax+a+3=0 | | 5-h=2g*k+4 | | 6-2x=-24 | | v-20=9 | | -2(3x-5)=-6x-10 | | -4x-4(7x+12)=176 | | x+1.5=4.6 | | z=7x+2y | | 11x+26=-69+6x | | -25+8x=55+4x | | -2(r+3)=-31 | | .74(x+4)=13.5 | | (x+2)(x-5)(x-6)(x+7)=144 | | 5x+9=-3x+11 |

Equations solver categories