If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8x(x + 2) + 4 = 5x(x + 1) Reorder the terms: 8x(2 + x) + 4 = 5x(x + 1) (2 * 8x + x * 8x) + 4 = 5x(x + 1) (16x + 8x2) + 4 = 5x(x + 1) Reorder the terms: 4 + 16x + 8x2 = 5x(x + 1) Reorder the terms: 4 + 16x + 8x2 = 5x(1 + x) 4 + 16x + 8x2 = (1 * 5x + x * 5x) 4 + 16x + 8x2 = (5x + 5x2) Solving 4 + 16x + 8x2 = 5x + 5x2 Solving for variable 'x'. Reorder the terms: 4 + 16x + -5x + 8x2 + -5x2 = 5x + 5x2 + -5x + -5x2 Combine like terms: 16x + -5x = 11x 4 + 11x + 8x2 + -5x2 = 5x + 5x2 + -5x + -5x2 Combine like terms: 8x2 + -5x2 = 3x2 4 + 11x + 3x2 = 5x + 5x2 + -5x + -5x2 Reorder the terms: 4 + 11x + 3x2 = 5x + -5x + 5x2 + -5x2 Combine like terms: 5x + -5x = 0 4 + 11x + 3x2 = 0 + 5x2 + -5x2 4 + 11x + 3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 4 + 11x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.333333333 + 3.666666667x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 3.666666667x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 3.666666667x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 3.666666667x + x2 = 0 + -1.333333333 3.666666667x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 3.666666667x + x2 = -1.333333333 The x term is 3.666666667x. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667x + 3.361111114 + x2 = -1.333333333 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667x + x2 = -1.333333333 + 3.361111114 Combine like terms: -1.333333333 + 3.361111114 = 2.027777781 3.361111114 + 3.666666667x + x2 = 2.027777781 Factor a perfect square on the left side: (x + 1.833333334)(x + 1.833333334) = 2.027777781 Calculate the square root of the right side: 1.424000625 Break this problem into two subproblems by setting (x + 1.833333334) equal to 1.424000625 and -1.424000625.Subproblem 1
x + 1.833333334 = 1.424000625 Simplifying x + 1.833333334 = 1.424000625 Reorder the terms: 1.833333334 + x = 1.424000625 Solving 1.833333334 + x = 1.424000625 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + x = 1.424000625 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = 1.424000625 + -1.833333334 x = 1.424000625 + -1.833333334 Combine like terms: 1.424000625 + -1.833333334 = -0.409332709 x = -0.409332709 Simplifying x = -0.409332709Subproblem 2
x + 1.833333334 = -1.424000625 Simplifying x + 1.833333334 = -1.424000625 Reorder the terms: 1.833333334 + x = -1.424000625 Solving 1.833333334 + x = -1.424000625 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + x = -1.424000625 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = -1.424000625 + -1.833333334 x = -1.424000625 + -1.833333334 Combine like terms: -1.424000625 + -1.833333334 = -3.257333959 x = -3.257333959 Simplifying x = -3.257333959Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.409332709, -3.257333959}
| 4x+44=0 | | 372-14=2x | | 0.5(2-x)=1.5x+8 | | 1/x+1/2x=1/14 | | -0.09-(-19.2)= | | 8x+-17=6x+11 | | 8x-17=6x | | 3(n+1)=5(n-3) | | x^2+10-9=0 | | 5x^2+39x=-54 | | 18(x+2)=2(9x+5)+26 | | -(5x+2)-(-4x+8)=6 | | 4r-25=-49+7r | | 2q^2+22q+60=0 | | x-0.7=9.53 | | 3x-2=9-2x | | 3(y+1)=2(y-2)-6 | | 5x^2=7x+17 | | 24t=168 | | 6lnx^6=4 | | y=3x^2-24 | | a-2(3a-5)=2a-4 | | x(x-11)=x-39 | | 7(9x-7)= | | 3v/8x^9*x/8v | | 3log(2x+7)=6 | | x+2(7-x)=17 | | p-6=2(p-6) | | -y-20=-42 | | x^2-31=-4x-10 | | 4/3y-16=25 | | (7/2)/(49/4) |