If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x + -13(x + -1)(x + -1) = 0 Reorder the terms: 3x + -13(-1 + x)(x + -1) = 0 Reorder the terms: 3x + -13(-1 + x)(-1 + x) = 0 Multiply (-1 + x) * (-1 + x) 3x + -13(-1(-1 + x) + x(-1 + x)) = 0 3x + -13((-1 * -1 + x * -1) + x(-1 + x)) = 0 3x + -13((1 + -1x) + x(-1 + x)) = 0 3x + -13(1 + -1x + (-1 * x + x * x)) = 0 3x + -13(1 + -1x + (-1x + x2)) = 0 Combine like terms: -1x + -1x = -2x 3x + -13(1 + -2x + x2) = 0 3x + (1 * -13 + -2x * -13 + x2 * -13) = 0 3x + (-13 + 26x + -13x2) = 0 Reorder the terms: -13 + 3x + 26x + -13x2 = 0 Combine like terms: 3x + 26x = 29x -13 + 29x + -13x2 = 0 Solving -13 + 29x + -13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -13 the coefficient of the squared term: Divide each side by '-13'. 1 + -2.230769231x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -2.230769231x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -2.230769231x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2.230769231x + x2 = 0 + -1 -2.230769231x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2.230769231x + x2 = -1 The x term is -2.230769231x. Take half its coefficient (-1.115384616). Square it (1.244082842) and add it to both sides. Add '1.244082842' to each side of the equation. -2.230769231x + 1.244082842 + x2 = -1 + 1.244082842 Reorder the terms: 1.244082842 + -2.230769231x + x2 = -1 + 1.244082842 Combine like terms: -1 + 1.244082842 = 0.244082842 1.244082842 + -2.230769231x + x2 = 0.244082842 Factor a perfect square on the left side: (x + -1.115384616)(x + -1.115384616) = 0.244082842 Calculate the square root of the right side: 0.494047409 Break this problem into two subproblems by setting (x + -1.115384616) equal to 0.494047409 and -0.494047409.Subproblem 1
x + -1.115384616 = 0.494047409 Simplifying x + -1.115384616 = 0.494047409 Reorder the terms: -1.115384616 + x = 0.494047409 Solving -1.115384616 + x = 0.494047409 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.115384616' to each side of the equation. -1.115384616 + 1.115384616 + x = 0.494047409 + 1.115384616 Combine like terms: -1.115384616 + 1.115384616 = 0.000000000 0.000000000 + x = 0.494047409 + 1.115384616 x = 0.494047409 + 1.115384616 Combine like terms: 0.494047409 + 1.115384616 = 1.609432025 x = 1.609432025 Simplifying x = 1.609432025Subproblem 2
x + -1.115384616 = -0.494047409 Simplifying x + -1.115384616 = -0.494047409 Reorder the terms: -1.115384616 + x = -0.494047409 Solving -1.115384616 + x = -0.494047409 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.115384616' to each side of the equation. -1.115384616 + 1.115384616 + x = -0.494047409 + 1.115384616 Combine like terms: -1.115384616 + 1.115384616 = 0.000000000 0.000000000 + x = -0.494047409 + 1.115384616 x = -0.494047409 + 1.115384616 Combine like terms: -0.494047409 + 1.115384616 = 0.621337207 x = 0.621337207 Simplifying x = 0.621337207Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.609432025, 0.621337207}
| 7(0)-3y=21 | | y=x^2-14x+13 | | 13x-5=1x+4 | | 2x-3.2=x-3.1 | | 27.7=9c-2 | | 9y^2=x(x^2-6x+9) | | -3n+12+n=22 | | 6e-1=50.6 | | 8x-11=77 | | 3c^2+3y^2-15y=0 | | 5p=27 | | y+20+4y-15=180 | | x=300+.03x | | 5p=57 | | (3w-2)(4w+4)= | | -9x-14=x-5 | | 9(x-3)=18 | | (3x-2)(4w+4)= | | 7(a+3)=42 | | 7e-3=25 | | 3x^2-28x+32=0 | | x+2x+8=4x+32 | | 14x+19=12x-77 | | 11x-14=17x+2 | | 3x(4+6x)= | | 5x+72=11x+21 | | x*10-72=x*8+6 | | 0=-5v^2+7v+6 | | 4(2x-5)=-x | | 2z+3=9 | | -6r+3(r+1)+4r=2 | | 8m+7n-2(3m-9n)= |