(4x-3)(x+7)=(1-2x)(x-9)

Simple and best practice solution for (4x-3)(x+7)=(1-2x)(x-9) 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-3)(x+7)=(1-2x)(x-9) equation: 


Simplifying
(4x + -3)(x + 7) = (1 + -2x)(x + -9)

Reorder the terms:
(-3 + 4x)(x + 7) = (1 + -2x)(x + -9)

Reorder the terms:
(-3 + 4x)(7 + x) = (1 + -2x)(x + -9)

Multiply (-3 + 4x) * (7 + x)
(-3(7 + x) + 4x * (7 + x)) = (1 + -2x)(x + -9)
((7 * -3 + x * -3) + 4x * (7 + x)) = (1 + -2x)(x + -9)
((-21 + -3x) + 4x * (7 + x)) = (1 + -2x)(x + -9)
(-21 + -3x + (7 * 4x + x * 4x)) = (1 + -2x)(x + -9)
(-21 + -3x + (28x + 4x2)) = (1 + -2x)(x + -9)

Combine like terms: -3x + 28x = 25x
(-21 + 25x + 4x2) = (1 + -2x)(x + -9)

Reorder the terms:
-21 + 25x + 4x2 = (1 + -2x)(-9 + x)

Multiply (1 + -2x) * (-9 + x)
-21 + 25x + 4x2 = (1(-9 + x) + -2x * (-9 + x))
-21 + 25x + 4x2 = ((-9 * 1 + x * 1) + -2x * (-9 + x))
-21 + 25x + 4x2 = ((-9 + 1x) + -2x * (-9 + x))
-21 + 25x + 4x2 = (-9 + 1x + (-9 * -2x + x * -2x))
-21 + 25x + 4x2 = (-9 + 1x + (18x + -2x2))

Combine like terms: 1x + 18x = 19x
-21 + 25x + 4x2 = (-9 + 19x + -2x2)

Solving
-21 + 25x + 4x2 = -9 + 19x + -2x2

Solving for variable 'x'.

Reorder the terms:
-21 + 9 + 25x + -19x + 4x2 + 2x2 = -9 + 19x + -2x2 + 9 + -19x + 2x2

Combine like terms: -21 + 9 = -12
-12 + 25x + -19x + 4x2 + 2x2 = -9 + 19x + -2x2 + 9 + -19x + 2x2

Combine like terms: 25x + -19x = 6x
-12 + 6x + 4x2 + 2x2 = -9 + 19x + -2x2 + 9 + -19x + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
-12 + 6x + 6x2 = -9 + 19x + -2x2 + 9 + -19x + 2x2

Reorder the terms:
-12 + 6x + 6x2 = -9 + 9 + 19x + -19x + -2x2 + 2x2

Combine like terms: -9 + 9 = 0
-12 + 6x + 6x2 = 0 + 19x + -19x + -2x2 + 2x2
-12 + 6x + 6x2 = 19x + -19x + -2x2 + 2x2

Combine like terms: 19x + -19x = 0
-12 + 6x + 6x2 = 0 + -2x2 + 2x2
-12 + 6x + 6x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-12 + 6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + x + x2) = 0

Factor a trinomial.
6((-2 + -1x)(1 + -1x)) = 0

Ignore the factor 6.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-2, 1}

See similar equations:

| x^2-32x+256-37=0 | | -31-3y+18=-22y+3+15y | | -3c+5+5c=-3c+20 | | (2x+1)(x-16)=(3x-2)(x-6) | | 2t-1=3(t+3) | | Y=2x(7x-3) | | 9(3+2x)=10x+45 | | 8(y-2)=4y-28 | | 2-6x+10x=-2(-3x+4) | | 25+3y-6=13y-11-4y | | x^2-32x+256=37 | | 21+3y-2=13y-11-4y | | 2*3*2*11+9/3= | | 16-4x=3x+2 | | 7y-7=4y+2 | | (x-16)(x-16)= | | 8-3x=-6+4x | | 8-3x=-6+4 | | 7r+4=13r+6 | | (x-16)(x-16)=37 | | 2(2n+10)=2(3n+7)-2n+6 | | 68-6x=30x+20 | | 8x-167=2x-11 | | (x-6)(x-6)=9 | | .25a-5=12 | | 3r+3=23r+7 | | 3x^2+4=12 | | 3r+4=9r+7 | | 5x+7=-128-8x | | c=(5)(7) | | c=5+7 | | .5i^2+4i-10=0 |

Equations solver categories