If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8x2 + 16x + 3 = 5x2 + 5x Reorder the terms: 3 + 16x + 8x2 = 5x2 + 5x Reorder the terms: 3 + 16x + 8x2 = 5x + 5x2 Solving 3 + 16x + 8x2 = 5x + 5x2 Solving for variable 'x'. Reorder the terms: 3 + 16x + -5x + 8x2 + -5x2 = 5x + 5x2 + -5x + -5x2 Combine like terms: 16x + -5x = 11x 3 + 11x + 8x2 + -5x2 = 5x + 5x2 + -5x + -5x2 Combine like terms: 8x2 + -5x2 = 3x2 3 + 11x + 3x2 = 5x + 5x2 + -5x + -5x2 Reorder the terms: 3 + 11x + 3x2 = 5x + -5x + 5x2 + -5x2 Combine like terms: 5x + -5x = 0 3 + 11x + 3x2 = 0 + 5x2 + -5x2 3 + 11x + 3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 3 + 11x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1 + 3.666666667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 3.666666667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 3.666666667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3.666666667x + x2 = 0 + -1 3.666666667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 3.666666667x + x2 = -1 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 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667x + x2 = -1 + 3.361111114 Combine like terms: -1 + 3.361111114 = 2.361111114 3.361111114 + 3.666666667x + x2 = 2.361111114 Factor a perfect square on the left side: (x + 1.833333334)(x + 1.833333334) = 2.361111114 Calculate the square root of the right side: 1.536590744 Break this problem into two subproblems by setting (x + 1.833333334) equal to 1.536590744 and -1.536590744.Subproblem 1
x + 1.833333334 = 1.536590744 Simplifying x + 1.833333334 = 1.536590744 Reorder the terms: 1.833333334 + x = 1.536590744 Solving 1.833333334 + x = 1.536590744 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 = 1.536590744 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = 1.536590744 + -1.833333334 x = 1.536590744 + -1.833333334 Combine like terms: 1.536590744 + -1.833333334 = -0.29674259 x = -0.29674259 Simplifying x = -0.29674259Subproblem 2
x + 1.833333334 = -1.536590744 Simplifying x + 1.833333334 = -1.536590744 Reorder the terms: 1.833333334 + x = -1.536590744 Solving 1.833333334 + x = -1.536590744 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 = -1.536590744 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = -1.536590744 + -1.833333334 x = -1.536590744 + -1.833333334 Combine like terms: -1.536590744 + -1.833333334 = -3.369924078 x = -3.369924078 Simplifying x = -3.369924078Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.29674259, -3.369924078}
| 5r^2-44r+120=-30-11r | | 16t^2-1156=0 | | 9-4z=21 | | 7x+y=10fory | | 4(1/4)=3(-1/3)+2 | | 34+5x=-x-56 | | -(5x+2)-(-4x-6)=0 | | 9-x-2=9 | | -2-5x=4-4x | | 6m-.3=2.8m+2.9 | | 5t^2-18t-8=0 | | 9-x=9 | | 3y^2+15y-5y-25= | | (48x^5y+48x^6y+5y^2+30xy^5)dx+(8x^6+25xy^4)dy=0 | | 84=2x-4(2x-3) | | w-5/7=4(2/3) | | 35/7=25/x | | 3y^2+15-5y-25= | | 2a+5c=31.65 | | -3(2x-2)-6=-2(6x+3)-2 | | 0=ln(3x-2)+ln(x+3) | | 6r+9=15 | | 6(x+5)-6=2(x+3) | | 6t=270 | | -7/3=-5/7y-5/2 | | -4v+12=6(v-8) | | 3y^2+24y-8y-64= | | -5x-35=4x+10 | | X^2+x-110=0Solve | | 5x+8x-7x-5=1 | | 9x-2+35=13x+1 | | 2(-6-7x)+3x=-89 |