9x^2-25+(3x-5)(2x+15)=

Simple and best practice solution for 9x^2-25+(3x-5)(2x+15)= 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 9x^2-25+(3x-5)(2x+15)= equation: 


Simplifying
9x2 + -25 + (3x + -5)(2x + 15) = 0

Reorder the terms:
9x2 + -25 + (-5 + 3x)(2x + 15) = 0

Reorder the terms:
9x2 + -25 + (-5 + 3x)(15 + 2x) = 0

Multiply (-5 + 3x) * (15 + 2x)
9x2 + -25 + (-5(15 + 2x) + 3x * (15 + 2x)) = 0
9x2 + -25 + ((15 * -5 + 2x * -5) + 3x * (15 + 2x)) = 0
9x2 + -25 + ((-75 + -10x) + 3x * (15 + 2x)) = 0
9x2 + -25 + (-75 + -10x + (15 * 3x + 2x * 3x)) = 0
9x2 + -25 + (-75 + -10x + (45x + 6x2)) = 0

Combine like terms: -10x + 45x = 35x
9x2 + -25 + (-75 + 35x + 6x2) = 0

Reorder the terms:
-25 + -75 + 35x + 9x2 + 6x2 = 0

Combine like terms: -25 + -75 = -100
-100 + 35x + 9x2 + 6x2 = 0

Combine like terms: 9x2 + 6x2 = 15x2
-100 + 35x + 15x2 = 0

Solving
-100 + 35x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-20 + 7x + 3x2) = 0

Factor a trinomial.
5((-4 + -1x)(5 + -3x)) = 0

Ignore the factor 5.

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

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-4, 1.666666667}

See similar equations:

| y^2+2x=13 | | 15y-3=11y+21 | | 4(2g-5)=32 | | -x^6+1=0 | | x^2-6i=0 | | x^8+5x^6+11x^4+11x^2+4x=0 | | p(x)=x^4-2x^3-4x+16 | | 10d+6=8d+16 | | 2(x-9)=-8.2 | | 18.8=8c-6 | | 8e-3=67.4 | | 8p=59.2 | | (3x-4)(x-2)-(6x-8)(x-3)=0 | | 8(a+3)=56 | | 15=8c-9 | | 5e-9=21 | | 32x*x^2=0 | | (2x-3)2=36 | | 5x(2x-1)=7x | | 3x^2-4y^2-6x-1=0 | | 4x-(x-2)=18-3x | | (4b-6r)+(2r-4)=(r+1)+(b-3) | | r+1=B-3 | | 3m+12=2(m-3) | | 5.5(2-x)-3(4-2x)=20 | | (n+1)*6=45 | | 3a+3=6a | | 19-6x=9-7x | | -3(5x-1)-2(7-8x)=-10 | | 4x+11=-13-2 | | x+2x+2x+6=x+12 | | 10+4x=-8+x |

Equations solver categories