If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3x2 + 15x = -33 Reorder the terms: 15x + -3x2 = -33 Solving 15x + -3x2 = -33 Solving for variable 'x'. Reorder the terms: 33 + 15x + -3x2 = -33 + 33 Combine like terms: -33 + 33 = 0 33 + 15x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(11 + 5x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(11 + 5x + -1x2)' equal to zero and attempt to solve: Simplifying 11 + 5x + -1x2 = 0 Solving 11 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -11 + -5x + x2 = 0 Move the constant term to the right: Add '11' to each side of the equation. -11 + -5x + 11 + x2 = 0 + 11 Reorder the terms: -11 + 11 + -5x + x2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5x + x2 = 0 + 11 -5x + x2 = 0 + 11 Combine like terms: 0 + 11 = 11 -5x + x2 = 11 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = 11 + 6.25 Reorder the terms: 6.25 + -5x + x2 = 11 + 6.25 Combine like terms: 11 + 6.25 = 17.25 6.25 + -5x + x2 = 17.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 17.25 Calculate the square root of the right side: 4.153311931 Break this problem into two subproblems by setting (x + -2.5) equal to 4.153311931 and -4.153311931.Subproblem 1
x + -2.5 = 4.153311931 Simplifying x + -2.5 = 4.153311931 Reorder the terms: -2.5 + x = 4.153311931 Solving -2.5 + x = 4.153311931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 4.153311931 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 4.153311931 + 2.5 x = 4.153311931 + 2.5 Combine like terms: 4.153311931 + 2.5 = 6.653311931 x = 6.653311931 Simplifying x = 6.653311931Subproblem 2
x + -2.5 = -4.153311931 Simplifying x + -2.5 = -4.153311931 Reorder the terms: -2.5 + x = -4.153311931 Solving -2.5 + x = -4.153311931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -4.153311931 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -4.153311931 + 2.5 x = -4.153311931 + 2.5 Combine like terms: -4.153311931 + 2.5 = -1.653311931 x = -1.653311931 Simplifying x = -1.653311931Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.653311931, -1.653311931}Solution
x = {6.653311931, -1.653311931}
| (2x+1)=(3x-31) | | P/18=14 | | -23=-3+x | | (6x^2-8x+6)+(-4x^2-8x-1)= | | 5y+6x=15 | | (42-x)+x-x+(20-x)+(16-x)=70 | | 8=2x-25 | | k/3-k-2/6=7/6 | | 10x-4=4x-3 | | 5p-7q+3r=t | | 5[5-(4-3x)]+x=2(8x+5)-5 | | 16x-14=5(3x+5)-11 | | -0.03x^2+0.03x+9.5=0 | | -0.03x^2+0.03+9.5=0 | | logx-logx=8 | | 12(v+1)-3v=3(3v+4)-16 | | 14x+18x-9+3=9x+3-9 | | x/(x+3)=0.6 | | 160/8-(2+1) | | 9k-4=k+13-7k | | 4^6x6^8y^2/4^7x7^4y^2 | | 3^3x6^5/3^5x6^2 | | x/2+4x/3=2x-7 | | x(7x+9)=0 | | (9/4)*x | | (x/4)+(3x/2)=2x-7 | | 2x-3/5+x+3/4=4x+1/7 | | 5/3*4/20 | | 1/3*5/3 | | 0.5y^2+2.5y-98=0 | | 3m-7n=13 | | x/4+3x/2=2x-7 |