If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 15 = 4x2 + 3(3x + 15) Reorder the terms: 15 + 6x2 = 4x2 + 3(3x + 15) Reorder the terms: 15 + 6x2 = 4x2 + 3(15 + 3x) 15 + 6x2 = 4x2 + (15 * 3 + 3x * 3) 15 + 6x2 = 4x2 + (45 + 9x) Reorder the terms: 15 + 6x2 = 45 + 9x + 4x2 Solving 15 + 6x2 = 45 + 9x + 4x2 Solving for variable 'x'. Reorder the terms: 15 + -45 + -9x + 6x2 + -4x2 = 45 + 9x + 4x2 + -45 + -9x + -4x2 Combine like terms: 15 + -45 = -30 -30 + -9x + 6x2 + -4x2 = 45 + 9x + 4x2 + -45 + -9x + -4x2 Combine like terms: 6x2 + -4x2 = 2x2 -30 + -9x + 2x2 = 45 + 9x + 4x2 + -45 + -9x + -4x2 Reorder the terms: -30 + -9x + 2x2 = 45 + -45 + 9x + -9x + 4x2 + -4x2 Combine like terms: 45 + -45 = 0 -30 + -9x + 2x2 = 0 + 9x + -9x + 4x2 + -4x2 -30 + -9x + 2x2 = 9x + -9x + 4x2 + -4x2 Combine like terms: 9x + -9x = 0 -30 + -9x + 2x2 = 0 + 4x2 + -4x2 -30 + -9x + 2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -30 + -9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -15 + -4.5x + x2 = 0 Move the constant term to the right: Add '15' to each side of the equation. -15 + -4.5x + 15 + x2 = 0 + 15 Reorder the terms: -15 + 15 + -4.5x + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4.5x + x2 = 0 + 15 -4.5x + x2 = 0 + 15 Combine like terms: 0 + 15 = 15 -4.5x + x2 = 15 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = 15 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = 15 + 5.0625 Combine like terms: 15 + 5.0625 = 20.0625 5.0625 + -4.5x + x2 = 20.0625 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = 20.0625 Calculate the square root of the right side: 4.479118217 Break this problem into two subproblems by setting (x + -2.25) equal to 4.479118217 and -4.479118217.Subproblem 1
x + -2.25 = 4.479118217 Simplifying x + -2.25 = 4.479118217 Reorder the terms: -2.25 + x = 4.479118217 Solving -2.25 + x = 4.479118217 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + x = 4.479118217 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + x = 4.479118217 + 2.25 x = 4.479118217 + 2.25 Combine like terms: 4.479118217 + 2.25 = 6.729118217 x = 6.729118217 Simplifying x = 6.729118217Subproblem 2
x + -2.25 = -4.479118217 Simplifying x + -2.25 = -4.479118217 Reorder the terms: -2.25 + x = -4.479118217 Solving -2.25 + x = -4.479118217 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + x = -4.479118217 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + x = -4.479118217 + 2.25 x = -4.479118217 + 2.25 Combine like terms: -4.479118217 + 2.25 = -2.229118217 x = -2.229118217 Simplifying x = -2.229118217Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.729118217, -2.229118217}
| -3x+7=2y | | 2(7x+4)= | | 0+0.5x=0 | | 58+90+4x=180 | | x^2+4x+50+4x+31=180 | | 2(6)+2(2x)=6x | | =101 | | 2(x-4)+2x=-6x-10 | | X^2+2xy=100 | | -2-2n=28 | | s=6-4s | | 7=90 | | (3x+7)-(2x-2)= | | 3x+11=x+7 | | -4(a+b)= | | 5*(7x)= | | -7+4x=-(2x+39) | | -6.3n+4(-n+2.4)=88.91 | | 3x+11+7+x=180 | | (3a-2i)(a+bi)=18i | | 2w^3+3w^2+3w+2=0 | | 4y-10-7y-3= | | -2(-7k+4)+9=-14 | | 3(-x+y)= | | 4s^2-28s+49=0 | | a=4-y+z | | 112=4c+84 | | 2m=6m+28 | | -6+-y= | | 6=2m-10 | | -14=10a+6 | | 3.91x^2-10.45x+4.42=0 |