If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (5x3 + -2x2 + 3x) + (5x3 + 5x2 + -11x) = 0 Reorder the terms: (3x + -2x2 + 5x3) + (5x3 + 5x2 + -11x) = 0 Remove parenthesis around (3x + -2x2 + 5x3) 3x + -2x2 + 5x3 + (5x3 + 5x2 + -11x) = 0 Reorder the terms: 3x + -2x2 + 5x3 + (-11x + 5x2 + 5x3) = 0 Remove parenthesis around (-11x + 5x2 + 5x3) 3x + -2x2 + 5x3 + -11x + 5x2 + 5x3 = 0 Reorder the terms: 3x + -11x + -2x2 + 5x2 + 5x3 + 5x3 = 0 Combine like terms: 3x + -11x = -8x -8x + -2x2 + 5x2 + 5x3 + 5x3 = 0 Combine like terms: -2x2 + 5x2 = 3x2 -8x + 3x2 + 5x3 + 5x3 = 0 Combine like terms: 5x3 + 5x3 = 10x3 -8x + 3x2 + 10x3 = 0 Solving -8x + 3x2 + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 3x + 10x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-8 + 3x + 10x2)' equal to zero and attempt to solve: Simplifying -8 + 3x + 10x2 = 0 Solving -8 + 3x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. -0.8 + 0.3x + x2 = 0.0 Move the constant term to the right: Add '0.8' to each side of the equation. -0.8 + 0.3x + 0.8 + x2 = 0.0 + 0.8 Reorder the terms: -0.8 + 0.8 + 0.3x + x2 = 0.0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.3x + x2 = 0.0 + 0.8 0.3x + x2 = 0.0 + 0.8 Combine like terms: 0.0 + 0.8 = 0.8 0.3x + x2 = 0.8 The x term is 0.3x. Take half its coefficient (0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. 0.3x + 0.0225 + x2 = 0.8 + 0.0225 Reorder the terms: 0.0225 + 0.3x + x2 = 0.8 + 0.0225 Combine like terms: 0.8 + 0.0225 = 0.8225 0.0225 + 0.3x + x2 = 0.8225 Factor a perfect square on the left side: (x + 0.15)(x + 0.15) = 0.8225 Calculate the square root of the right side: 0.906917857 Break this problem into two subproblems by setting (x + 0.15) equal to 0.906917857 and -0.906917857.Subproblem 1
x + 0.15 = 0.906917857 Simplifying x + 0.15 = 0.906917857 Reorder the terms: 0.15 + x = 0.906917857 Solving 0.15 + x = 0.906917857 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15' to each side of the equation. 0.15 + -0.15 + x = 0.906917857 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + x = 0.906917857 + -0.15 x = 0.906917857 + -0.15 Combine like terms: 0.906917857 + -0.15 = 0.756917857 x = 0.756917857 Simplifying x = 0.756917857Subproblem 2
x + 0.15 = -0.906917857 Simplifying x + 0.15 = -0.906917857 Reorder the terms: 0.15 + x = -0.906917857 Solving 0.15 + x = -0.906917857 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15' to each side of the equation. 0.15 + -0.15 + x = -0.906917857 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + x = -0.906917857 + -0.15 x = -0.906917857 + -0.15 Combine like terms: -0.906917857 + -0.15 = -1.056917857 x = -1.056917857 Simplifying x = -1.056917857Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.756917857, -1.056917857}Solution
x = {0, 0.756917857, -1.056917857}
| x^2+3x-600=0 | | 12-24x=57 | | 9-7(6+4X)-3X= | | -(3x-4)-(5x-4)+9=-2(x-9)-(9x+6)+9 | | 8x+4=2x-5 | | 7m+2=-20 | | 11x-2(x-9)=9(x+1)+3 | | z-7z=8z-1-z | | 3x-8=32 | | 2y+4(y-8)=8y-4(y-10) | | 2w=21 | | 4+2(3x+5)=11-x | | 1.02v+2.458=7.583 | | 4y^6-9=0 | | x^2-5x=6+0 | | 2(x-5)+2x=4(x+3)-22 | | 3k+24=54 | | x(x+1)=3(x+1) | | 3x+3y=12y | | 2y=-4y+18 | | 2y=4x-5 | | x-6=-5x-6 | | 44+-a=16 | | 20a^2-15a^2= | | (37b-4)-9(4b+1)=-5 | | 6x-8=100x+16 | | 7[2x+2(3-2x)+1]=4+5(2-3x)-x | | 4x-3x=-8 | | 5(x-2)+6=5x+8 | | 7x-5=x^2 | | 5x+11=8x-16 | | d+56=128 |