9x^2-24x+16-(3x-4)(5x-7)=0

Simple and best practice solution for 9x^2-24x+16-(3x-4)(5x-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 9x^2-24x+16-(3x-4)(5x-7)=0 equation: 


Simplifying
9x2 + -24x + 16 + -1(3x + -4)(5x + -7) = 0

Reorder the terms:
9x2 + -24x + 16 + -1(-4 + 3x)(5x + -7) = 0

Reorder the terms:
9x2 + -24x + 16 + -1(-4 + 3x)(-7 + 5x) = 0

Multiply (-4 + 3x) * (-7 + 5x)
9x2 + -24x + 16 + -1(-4(-7 + 5x) + 3x * (-7 + 5x)) = 0
9x2 + -24x + 16 + -1((-7 * -4 + 5x * -4) + 3x * (-7 + 5x)) = 0
9x2 + -24x + 16 + -1((28 + -20x) + 3x * (-7 + 5x)) = 0
9x2 + -24x + 16 + -1(28 + -20x + (-7 * 3x + 5x * 3x)) = 0
9x2 + -24x + 16 + -1(28 + -20x + (-21x + 15x2)) = 0

Combine like terms: -20x + -21x = -41x
9x2 + -24x + 16 + -1(28 + -41x + 15x2) = 0
9x2 + -24x + 16 + (28 * -1 + -41x * -1 + 15x2 * -1) = 0
9x2 + -24x + 16 + (-28 + 41x + -15x2) = 0

Reorder the terms:
16 + -28 + -24x + 41x + 9x2 + -15x2 = 0

Combine like terms: 16 + -28 = -12
-12 + -24x + 41x + 9x2 + -15x2 = 0

Combine like terms: -24x + 41x = 17x
-12 + 17x + 9x2 + -15x2 = 0

Combine like terms: 9x2 + -15x2 = -6x2
-12 + 17x + -6x2 = 0

Solving
-12 + 17x + -6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + 2x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {1.5, 1.333333333}

See similar equations:

| 4a-(2.5)=a-(10) | | 3x+3=9x+5 | | 6x-3=4+x | | 4x+logx=4 | | -4=32t-16t^2 | | 1x-5=2x-10 | | 4(5-3x)=2(6x+5) | | 8=32t-16t^2 | | 2a-21.6=a+1.4 | | −5/8c=20 | | X^2-9x-4= | | 6x+10=12x+9 | | 4x+ln(x)=4 | | 7x+5=7x+14 | | 3500-100x= | | 376+12x=y | | 4x-lnx=4 | | 1/3h-4(2/3h-6) | | 5x-3=-2x-9 | | 6.99+0.55n=11.94 | | 100+55x=y | | 2a-22.1=a+1.9 | | 145+36n=433 | | 2x+3x-1=5(x+7) | | x-y=34x | | -18=6x-8x-4 | | -3x+18=x+16 | | -5*7+2x-4+5*6=-30 | | 2^-6x^-2y^4/2-3x^-5y^8 | | 10+2x=130 | | 3/8x-8=4 | | 18=6w+3w |

Equations solver categories