If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (7x + -3)(x + 5) = 9 Reorder the terms: (-3 + 7x)(x + 5) = 9 Reorder the terms: (-3 + 7x)(5 + x) = 9 Multiply (-3 + 7x) * (5 + x) (-3(5 + x) + 7x * (5 + x)) = 9 ((5 * -3 + x * -3) + 7x * (5 + x)) = 9 ((-15 + -3x) + 7x * (5 + x)) = 9 (-15 + -3x + (5 * 7x + x * 7x)) = 9 (-15 + -3x + (35x + 7x2)) = 9 Combine like terms: -3x + 35x = 32x (-15 + 32x + 7x2) = 9 Solving -15 + 32x + 7x2 = 9 Solving for variable 'x'. Reorder the terms: -15 + -9 + 32x + 7x2 = 9 + -9 Combine like terms: -15 + -9 = -24 -24 + 32x + 7x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -24 + 32x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -3.428571429 + 4.571428571x + x2 = 0 Move the constant term to the right: Add '3.428571429' to each side of the equation. -3.428571429 + 4.571428571x + 3.428571429 + x2 = 0 + 3.428571429 Reorder the terms: -3.428571429 + 3.428571429 + 4.571428571x + x2 = 0 + 3.428571429 Combine like terms: -3.428571429 + 3.428571429 = 0.000000000 0.000000000 + 4.571428571x + x2 = 0 + 3.428571429 4.571428571x + x2 = 0 + 3.428571429 Combine like terms: 0 + 3.428571429 = 3.428571429 4.571428571x + x2 = 3.428571429 The x term is 4.571428571x. Take half its coefficient (2.285714286). Square it (5.224489797) and add it to both sides. Add '5.224489797' to each side of the equation. 4.571428571x + 5.224489797 + x2 = 3.428571429 + 5.224489797 Reorder the terms: 5.224489797 + 4.571428571x + x2 = 3.428571429 + 5.224489797 Combine like terms: 3.428571429 + 5.224489797 = 8.653061226 5.224489797 + 4.571428571x + x2 = 8.653061226 Factor a perfect square on the left side: (x + 2.285714286)(x + 2.285714286) = 8.653061226 Calculate the square root of the right side: 2.941608612 Break this problem into two subproblems by setting (x + 2.285714286) equal to 2.941608612 and -2.941608612.Subproblem 1
x + 2.285714286 = 2.941608612 Simplifying x + 2.285714286 = 2.941608612 Reorder the terms: 2.285714286 + x = 2.941608612 Solving 2.285714286 + x = 2.941608612 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.285714286' to each side of the equation. 2.285714286 + -2.285714286 + x = 2.941608612 + -2.285714286 Combine like terms: 2.285714286 + -2.285714286 = 0.000000000 0.000000000 + x = 2.941608612 + -2.285714286 x = 2.941608612 + -2.285714286 Combine like terms: 2.941608612 + -2.285714286 = 0.655894326 x = 0.655894326 Simplifying x = 0.655894326Subproblem 2
x + 2.285714286 = -2.941608612 Simplifying x + 2.285714286 = -2.941608612 Reorder the terms: 2.285714286 + x = -2.941608612 Solving 2.285714286 + x = -2.941608612 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.285714286' to each side of the equation. 2.285714286 + -2.285714286 + x = -2.941608612 + -2.285714286 Combine like terms: 2.285714286 + -2.285714286 = 0.000000000 0.000000000 + x = -2.941608612 + -2.285714286 x = -2.941608612 + -2.285714286 Combine like terms: -2.941608612 + -2.285714286 = -5.227322898 x = -5.227322898 Simplifying x = -5.227322898Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.655894326, -5.227322898}
| 147x=180 | | 10-8x=32+3x | | 5x-3+6x=126 | | 5w-10+7w=-33-8w+4 | | 15s/5s | | 5x+8-2x=3x+32-8x | | 5x+4000=4500 | | 3X+Y=10Z | | -3x-5+2x+2=-1+2 | | sin(3x)*sin(9x)=0 | | -t/1810 | | 3(5y-4)=10 | | h(t)=-16t+128t | | 1-y/2=0 | | 30=(6/5)u | | H/-11=12 | | (x+3)(2x-1)=(3-x)(5-3x) | | x+2.7=4.54 | | X/-10=-7 | | y-2.15=7.34 | | 1/2y-3/7y | | (P+5)(p-12)=0 | | 7k+20=9k+30 | | 2x(3x+7)=0 | | -6(z-4)=12 | | 23-u=190 | | (3x-8)(x-2)=8 | | 45x=5x+4000 | | S-2=17 | | (-3)^6/(-3)^3 | | 13+5x=3x+7 | | -3h-13+h=-31 |