(7x+15)(6x-7)=0

Simple and best practice solution for (7x+15)(6x-7)=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 (7x+15)(6x-7)=0 equation:


Simplifying
(7x + 15)(6x + -7) = 0

Reorder the terms:
(15 + 7x)(6x + -7) = 0

Reorder the terms:
(15 + 7x)(-7 + 6x) = 0

Multiply (15 + 7x) * (-7 + 6x)
(15(-7 + 6x) + 7x * (-7 + 6x)) = 0
((-7 * 15 + 6x * 15) + 7x * (-7 + 6x)) = 0
((-105 + 90x) + 7x * (-7 + 6x)) = 0
(-105 + 90x + (-7 * 7x + 6x * 7x)) = 0
(-105 + 90x + (-49x + 42x2)) = 0

Combine like terms: 90x + -49x = 41x
(-105 + 41x + 42x2) = 0

Solving
-105 + 41x + 42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + -7x)(7 + -6x) = 0

Subproblem 1

Set the factor '(-15 + -7x)' equal to zero and attempt to solve: Simplifying -15 + -7x = 0 Solving -15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 0 + 15 -7x = 0 + 15 Combine like terms: 0 + 15 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143

Subproblem 2

Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 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 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667

Solution

x = {-2.142857143, 1.166666667}

See similar equations:

| 3(x-15)=15+3x | | 143.3(49)+12763.1+6820= | | 3(5z-1)-5(z+8)=8(z+1) | | 13+x=0-(-2x) | | x(x-7)=10 | | 143.3(49)= | | 24x^3-8x^2+48x=0 | | -(7y+5)-(-6y-7)=0 | | -16(x-18)+12(x+2)=x+12 | | -16(x-18)+.5(x+2)=x+12 | | 3x^4+2x^2=5x^6 | | 12x+4=9x-11 | | 6x+x=30 | | 8(4a+9b)-5(a+7b)= | | 10=5(y-6)+3y | | -8+5+-5= | | (8x+14)+9x=180 | | 143(49)+1823.3(7)+6820= | | 8x+14+9x=180 | | -7+3+-4= | | -(8y+2)-(-7y-4)=-5 | | 4t=136+9t | | (9y^2-9y+2)-(4y^2-9y+9)= | | (x+7)(x+1)=0 | | 3x^3+14x^2+8x=0 | | 19x+5=x-(-59) | | 2=-2u+6(u+3) | | 6+10z-4=8z+44-5z | | 16(3x-8)=4(12x+6) | | 5+1X=15 | | 4+6z-3=9z+25-7z | | -2x+10=22 |

Equations solver categories