(2x-7)(6x+5)=0

Simple and best practice solution for (2x-7)(6x+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 (2x-7)(6x+5)=0 equation: 


Simplifying
(2x + -7)(6x + 5) = 0

Reorder the terms:
(-7 + 2x)(6x + 5) = 0

Reorder the terms:
(-7 + 2x)(5 + 6x) = 0

Multiply (-7 + 2x) * (5 + 6x)
(-7(5 + 6x) + 2x * (5 + 6x)) = 0
((5 * -7 + 6x * -7) + 2x * (5 + 6x)) = 0
((-35 + -42x) + 2x * (5 + 6x)) = 0
(-35 + -42x + (5 * 2x + 6x * 2x)) = 0
(-35 + -42x + (10x + 12x2)) = 0

Combine like terms: -42x + 10x = -32x
(-35 + -32x + 12x2) = 0

Solving
-35 + -32x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -6x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

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

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-0.8333333333, 3.5}

See similar equations:

| x-2=2x+7(x-6) | | 4x^3-15x+12x=0 | | 3x+27=4(8x-7)-3 | | -11x-23=-3(4x+10) | | 22x+6y=10 | | 8(1-4x)-6(-12-9x)=1+7x+1-11x | | x+23=58 | | -4-.6667x-4x=-46 | | 1-4x-3=-18 | | .25x+.5=x-22 | | 49-3.5y=31.5 | | x^2-81x+6561=0 | | 50=3x^2+5x+60 | | 9x-12y+8= | | 2x^2-66=-16x | | 7=10t-(2+-3) | | (11-2x)(8.5-2x)(x)=0 | | 3d+8=23 | | 8+-4(-2.5+6t)=-4 | | 10a-2-9a+3=a+1 | | (20-2x)(20-2x)(x)= | | -4(1.6-0.3k)=-14.4-10.8k | | 8=4+17t-16t*2 | | 5x-6=-2 | | 3h(4h+6h+8)= | | 6(x+3)=33 | | 24(g-5)=15 | | 12n^3-8n^2+20n=0 | | y=(3x+4)+(2x-3) | | 9x-9x=8(12+12x)-8(6x+12) | | 4x+10=2x+16 | | (x-2).180=144x |

Equations solver categories