If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x(x + -1) = 5(x + 4) Reorder the terms: 10x(-1 + x) = 5(x + 4) (-1 * 10x + x * 10x) = 5(x + 4) (-10x + 10x2) = 5(x + 4) Reorder the terms: -10x + 10x2 = 5(4 + x) -10x + 10x2 = (4 * 5 + x * 5) -10x + 10x2 = (20 + 5x) Solving -10x + 10x2 = 20 + 5x Solving for variable 'x'. Reorder the terms: -20 + -10x + -5x + 10x2 = 20 + 5x + -20 + -5x Combine like terms: -10x + -5x = -15x -20 + -15x + 10x2 = 20 + 5x + -20 + -5x Reorder the terms: -20 + -15x + 10x2 = 20 + -20 + 5x + -5x Combine like terms: 20 + -20 = 0 -20 + -15x + 10x2 = 0 + 5x + -5x -20 + -15x + 10x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -20 + -15x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + -3x + 2x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -3x + 2x2)' equal to zero and attempt to solve: Simplifying -4 + -3x + 2x2 = 0 Solving -4 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -2 + -1.5x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -1.5x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -1.5x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1.5x + x2 = 0 + 2 -1.5x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1.5x + x2 = 2 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 2 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 2 + 0.5625 Combine like terms: 2 + 0.5625 = 2.5625 0.5625 + -1.5x + x2 = 2.5625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (x + -0.75) equal to 1.600781059 and -1.600781059.Subproblem 1
x + -0.75 = 1.600781059 Simplifying x + -0.75 = 1.600781059 Reorder the terms: -0.75 + x = 1.600781059 Solving -0.75 + x = 1.600781059 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 1.600781059 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.600781059 + 0.75 x = 1.600781059 + 0.75 Combine like terms: 1.600781059 + 0.75 = 2.350781059 x = 2.350781059 Simplifying x = 2.350781059Subproblem 2
x + -0.75 = -1.600781059 Simplifying x + -0.75 = -1.600781059 Reorder the terms: -0.75 + x = -1.600781059 Solving -0.75 + x = -1.600781059 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -1.600781059 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.600781059 + 0.75 x = -1.600781059 + 0.75 Combine like terms: -1.600781059 + 0.75 = -0.850781059 x = -0.850781059 Simplifying x = -0.850781059Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.350781059, -0.850781059}Solution
x = {2.350781059, -0.850781059}
| 13(7-x)=15(6x+1) | | 4x+5=-6+2x+15 | | 8z^2+cz+35=(4z+7)(2z+5) | | 3(4n+1)-9=6(2-n) | | 8(x-2)-5=-21 | | 9x^5-72x^4+72x^3=0 | | 6x-7=-15+2x | | 4x-1+x+17=7+6x+13-3x | | 3.5x+3=0.5x+21 | | y^2+12y=7 | | -4+12=-4(2y+3) | | 3x-10=6x+2 | | 6+12x-5=9x+29-4x | | -r-7=2r+13 | | 4g+1=-6g+51 | | 5+4p=4p+1 | | 4x+4-6x=9+3x | | 9-5y=-6y-11 | | 11x-(4x-6)=20 | | 0.5+3=0.25r+11 | | -(x-8)=7 | | 0.5+3=0.25r+13 | | 5n-18-14n=-36 | | 39=33-2(x-1) | | x=15(2w-5) | | 3n(n-3)+4(n+4)= | | (x-3)(2x+1)= | | 2x+4x=3x-2 | | -(-10+n)=21 | | 9p+6=51 | | 6(x+3)=4(x+9) | | 2x-8x+15=4x+35 |