If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3 + x)(3 + -2x) = (3x)(3 + 2x) Multiply (3 + x) * (3 + -2x) (3(3 + -2x) + x(3 + -2x)) = (3x)(3 + 2x) ((3 * 3 + -2x * 3) + x(3 + -2x)) = (3x)(3 + 2x) ((9 + -6x) + x(3 + -2x)) = (3x)(3 + 2x) (9 + -6x + (3 * x + -2x * x)) = (3x)(3 + 2x) (9 + -6x + (3x + -2x2)) = (3x)(3 + 2x) Combine like terms: -6x + 3x = -3x (9 + -3x + -2x2) = (3x)(3 + 2x) Remove parenthesis around (3x) 9 + -3x + -2x2 = 3x(3 + 2x) 9 + -3x + -2x2 = (3 * 3x + 2x * 3x) 9 + -3x + -2x2 = (9x + 6x2) Solving 9 + -3x + -2x2 = 9x + 6x2 Solving for variable 'x'. Reorder the terms: 9 + -3x + -9x + -2x2 + -6x2 = 9x + 6x2 + -9x + -6x2 Combine like terms: -3x + -9x = -12x 9 + -12x + -2x2 + -6x2 = 9x + 6x2 + -9x + -6x2 Combine like terms: -2x2 + -6x2 = -8x2 9 + -12x + -8x2 = 9x + 6x2 + -9x + -6x2 Reorder the terms: 9 + -12x + -8x2 = 9x + -9x + 6x2 + -6x2 Combine like terms: 9x + -9x = 0 9 + -12x + -8x2 = 0 + 6x2 + -6x2 9 + -12x + -8x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 9 + -12x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -1.125 + 1.5x + x2 = 0 Move the constant term to the right: Add '1.125' to each side of the equation. -1.125 + 1.5x + 1.125 + x2 = 0 + 1.125 Reorder the terms: -1.125 + 1.125 + 1.5x + x2 = 0 + 1.125 Combine like terms: -1.125 + 1.125 = 0.000 0.000 + 1.5x + x2 = 0 + 1.125 1.5x + x2 = 0 + 1.125 Combine like terms: 0 + 1.125 = 1.125 1.5x + x2 = 1.125 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 = 1.125 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 1.125 + 0.5625 Combine like terms: 1.125 + 0.5625 = 1.6875 0.5625 + 1.5x + x2 = 1.6875 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 1.6875 Calculate the square root of the right side: 1.299038106 Break this problem into two subproblems by setting (x + 0.75) equal to 1.299038106 and -1.299038106.Subproblem 1
x + 0.75 = 1.299038106 Simplifying x + 0.75 = 1.299038106 Reorder the terms: 0.75 + x = 1.299038106 Solving 0.75 + x = 1.299038106 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 = 1.299038106 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 1.299038106 + -0.75 x = 1.299038106 + -0.75 Combine like terms: 1.299038106 + -0.75 = 0.549038106 x = 0.549038106 Simplifying x = 0.549038106Subproblem 2
x + 0.75 = -1.299038106 Simplifying x + 0.75 = -1.299038106 Reorder the terms: 0.75 + x = -1.299038106 Solving 0.75 + x = -1.299038106 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 = -1.299038106 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -1.299038106 + -0.75 x = -1.299038106 + -0.75 Combine like terms: -1.299038106 + -0.75 = -2.049038106 x = -2.049038106 Simplifying x = -2.049038106Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.549038106, -2.049038106}
| x^2=i^2+5 | | 6gh-9h= | | 2x+13=-23-4x | | 2x+4=2-2x | | -2(2+r)=6 | | 0=x^2+16x-6 | | 4(z+6)=4(z-3) | | 3-28x=-25 | | 1800(21-x)+2400x=48000 | | 8(2l+3)=200 | | (y^2-6)(y+8)=0 | | 25-r^2=0 | | x^3-3*x^2-2*x^2-6*x= | | 6/7(b-42) | | (x^3-3*x^2)-(2*x^2-6*x)= | | 0=2t^2-6t+3 | | 6z-5(z+1)=2(z-5)-z | | 5fg+10g= | | 2x(x+1)+3=(2x+2)(x-3) | | 6r-5r^2= | | -8(2t+3)=-40 | | -7(v+3)+4v+7=8v+6 | | -4-3x=o | | (e+5)*2=14 | | 5(2x+6)=80 | | 7(x-6)=7x+42 | | 25x-16=36 | | 5c(6-3)= | | 11x-44=1 | | -6x+2=9-3x | | 0=x^2+(2)(-9.8)(450) | | 7x+12=4x-48 |