(4x+7)(5x-6)=0

Simple and best practice solution for (4x+7)(5x-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 (4x+7)(5x-6)=0 equation: 


Simplifying
(4x + 7)(5x + -6) = 0

Reorder the terms:
(7 + 4x)(5x + -6) = 0

Reorder the terms:
(7 + 4x)(-6 + 5x) = 0

Multiply (7 + 4x) * (-6 + 5x)
(7(-6 + 5x) + 4x * (-6 + 5x)) = 0
((-6 * 7 + 5x * 7) + 4x * (-6 + 5x)) = 0
((-42 + 35x) + 4x * (-6 + 5x)) = 0
(-42 + 35x + (-6 * 4x + 5x * 4x)) = 0
(-42 + 35x + (-24x + 20x2)) = 0

Combine like terms: 35x + -24x = 11x
(-42 + 11x + 20x2) = 0

Solving
-42 + 11x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -4x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 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 + -4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0 + 7
-4x = 0 + 7

Combine like terms: 0 + 7 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

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

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

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1.75, 1.2}

See similar equations:

| x=2ab+ab-1ab+1ac | | 7+5=30 | | 10/8y-14=-4 | | Ux1/9=3/5 | | 10/8-14=-4 | | (5-2/5)3 | | (x-10)=3x+2 | | 8x+10=-2x | | 8(1)+4y=8 | | x/7-x/8=1 | | 4-3x-5x=36 | | -2x+44=-8x+2 | | -4/7t=-12 | | x+15=2x-8 | | 9+3n=6n+9 | | -[4z-(12z+6)]=6+(7z+5) | | 2=x+1.29x | | (x+72)+(x+112)=180 | | 7=2x-4.5 | | (11x-3)=6 | | -5(t+1)-t-6=-6(t+3)+7 | | -5.6+27.4= | | -1+18x=17x+2 | | 3c+12=5c+10.58 | | 4x=20y | | 3x/5-x=x/15 | | 10+20x+10=15x+-5x+90 | | 27x=28x-5 | | (28x-5)+27x=180 | | 10x+5+0=-2x+30+40 | | -9(v+3)+4v+5=6v+11 | | 9x^4-36x^3+44x^2-16x=0 |

Equations solver categories