If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + -3)(x + 5) + x(x + 1) = 0 Reorder the terms: (-3 + x)(x + 5) + x(x + 1) = 0 Reorder the terms: (-3 + x)(5 + x) + x(x + 1) = 0 Multiply (-3 + x) * (5 + x) (-3(5 + x) + x(5 + x)) + x(x + 1) = 0 ((5 * -3 + x * -3) + x(5 + x)) + x(x + 1) = 0 ((-15 + -3x) + x(5 + x)) + x(x + 1) = 0 (-15 + -3x + (5 * x + x * x)) + x(x + 1) = 0 (-15 + -3x + (5x + x2)) + x(x + 1) = 0 Combine like terms: -3x + 5x = 2x (-15 + 2x + x2) + x(x + 1) = 0 Reorder the terms: -15 + 2x + x2 + x(1 + x) = 0 -15 + 2x + x2 + (1 * x + x * x) = 0 -15 + 2x + x2 + (1x + x2) = 0 Reorder the terms: -15 + 2x + 1x + x2 + x2 = 0 Combine like terms: 2x + 1x = 3x -15 + 3x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -15 + 3x + 2x2 = 0 Solving -15 + 3x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + 1.5x + 7.5 + x2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + 1.5x + x2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 1.5x + x2 = 0 + 7.5 1.5x + x2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 1.5x + x2 = 7.5 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 7.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 7.5 + 0.5625 Combine like terms: 7.5 + 0.5625 = 8.0625 0.5625 + 1.5x + x2 = 8.0625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 8.0625 Calculate the square root of the right side: 2.839454173 Break this problem into two subproblems by setting (x + 0.75) equal to 2.839454173 and -2.839454173.Subproblem 1
x + 0.75 = 2.839454173 Simplifying x + 0.75 = 2.839454173 Reorder the terms: 0.75 + x = 2.839454173 Solving 0.75 + x = 2.839454173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 2.839454173 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 2.839454173 + -0.75 x = 2.839454173 + -0.75 Combine like terms: 2.839454173 + -0.75 = 2.089454173 x = 2.089454173 Simplifying x = 2.089454173Subproblem 2
x + 0.75 = -2.839454173 Simplifying x + 0.75 = -2.839454173 Reorder the terms: 0.75 + x = -2.839454173 Solving 0.75 + x = -2.839454173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -2.839454173 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -2.839454173 + -0.75 x = -2.839454173 + -0.75 Combine like terms: -2.839454173 + -0.75 = -3.589454173 x = -3.589454173 Simplifying x = -3.589454173Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.089454173, -3.589454173}
| 28+3x=37 | | 3(15+3)=2(x+35) | | 3x*2x=800 | | x/7-8,4=11.2 | | (-7x+12)+(-8x+48)=180 | | X^2+y^2-3x+2y+1=0 | | 3x+4+2x=114 | | 2(x+5)=52 | | 3a-4=-11 | | 3a-5(a-2)= | | y=-x^2-x+19 | | 9x^2-4y^2-90x-32y=-305 | | 3x+4+2x=84 | | ax/c-b=c/b | | 2s+3=s+6 | | H(x)=-9+3x+1 | | -2x-4=-5+8 | | 1/x-1/8=1/b | | 18x^2+36x+24=0 | | -2x+10=50 | | z+7=2z-1 | | 6-x=2y | | 100-x^2y^5= | | 1.71x+1.59=4 | | 3x+4+2x=54 | | 3x+4+2x=50 | | 2=2y-10x | | P^4+p^2-1=0 | | sin(8x)=0.57 | | 3x+4+2x=56 | | 3x+4+2x=28 | | 5x-1=2x+16 |