x(15x+37)=66

Simple and best practice solution for x(15x+37)=66 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 x(15x+37)=66 equation:


Simplifying
x(15x + 37) = 66

Reorder the terms:
x(37 + 15x) = 66
(37 * x + 15x * x) = 66
(37x + 15x2) = 66

Solving
37x + 15x2 = 66

Solving for variable 'x'.

Reorder the terms:
-66 + 37x + 15x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-66 + 37x + 15x2 = 0

Factor a trinomial.
(-11 + -3x)(6 + -5x) = 0

Subproblem 1

Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667

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 = {-3.666666667, 1.2}

See similar equations:

| (5x+8)(5x-8)= | | 6.9=y/3-2.1 | | 4x-12=2x+9 | | (4/5)^6 | | x(10x-41)=18 | | (4x+5)(x^2-2x+2)= | | 5y-7=8(y-2) | | 2(15+45c)+5/6(12+18c)=0 | | b+4/5=3b-30 | | 36*2=169 | | 18.5(10-n)=18.5 | | a+7/9=4a-112 | | 2.3(5-y)=0.2y+1.7 | | 6u-53=4u/3+3 | | 3(x-2)=4(x-7) | | 6p-326=17p/9+7 | | 7b/5+4=6b-203 | | 4d+2d-3d+4=2d | | 2X^4-12X^2=0 | | x^2-24x+14=0 | | 8t-t^2-12=0 | | 3c-36=11c/8+3 | | 11d/8+5=3d-99 | | 4n/3=5n-33 | | 5p/3=5p-90 | | 5n/4=4n-88 | | 4b-171=13b/8 | | 5a-3u+2i=17 | | x^3-6x^2+107x-216=0 | | 9u/8=5u-279 | | 3d-146=5d/8+6 | | x^2-24x-14=0 |

Equations solver categories