If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -8x(x2 + -3x) + 5x(-3x2 + -4x + 1) = 0 Reorder the terms: -8x(-3x + x2) + 5x(-3x2 + -4x + 1) = 0 (-3x * -8x + x2 * -8x) + 5x(-3x2 + -4x + 1) = 0 (24x2 + -8x3) + 5x(-3x2 + -4x + 1) = 0 Reorder the terms: 24x2 + -8x3 + 5x(1 + -4x + -3x2) = 0 24x2 + -8x3 + (1 * 5x + -4x * 5x + -3x2 * 5x) = 0 24x2 + -8x3 + (5x + -20x2 + -15x3) = 0 Reorder the terms: 5x + 24x2 + -20x2 + -8x3 + -15x3 = 0 Combine like terms: 24x2 + -20x2 = 4x2 5x + 4x2 + -8x3 + -15x3 = 0 Combine like terms: -8x3 + -15x3 = -23x3 5x + 4x2 + -23x3 = 0 Solving 5x + 4x2 + -23x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 4x + -23x2) = 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 '(5 + 4x + -23x2)' equal to zero and attempt to solve: Simplifying 5 + 4x + -23x2 = 0 Solving 5 + 4x + -23x2 = 0 Begin completing the square. Divide all terms by -23 the coefficient of the squared term: Divide each side by '-23'. -0.2173913043 + -0.1739130435x + x2 = 0 Move the constant term to the right: Add '0.2173913043' to each side of the equation. -0.2173913043 + -0.1739130435x + 0.2173913043 + x2 = 0 + 0.2173913043 Reorder the terms: -0.2173913043 + 0.2173913043 + -0.1739130435x + x2 = 0 + 0.2173913043 Combine like terms: -0.2173913043 + 0.2173913043 = 0.0000000000 0.0000000000 + -0.1739130435x + x2 = 0 + 0.2173913043 -0.1739130435x + x2 = 0 + 0.2173913043 Combine like terms: 0 + 0.2173913043 = 0.2173913043 -0.1739130435x + x2 = 0.2173913043 The x term is -0.1739130435x. Take half its coefficient (-0.08695652175). Square it (0.007561436675) and add it to both sides. Add '0.007561436675' to each side of the equation. -0.1739130435x + 0.007561436675 + x2 = 0.2173913043 + 0.007561436675 Reorder the terms: 0.007561436675 + -0.1739130435x + x2 = 0.2173913043 + 0.007561436675 Combine like terms: 0.2173913043 + 0.007561436675 = 0.224952740975 0.007561436675 + -0.1739130435x + x2 = 0.224952740975 Factor a perfect square on the left side: (x + -0.08695652175)(x + -0.08695652175) = 0.224952740975 Calculate the square root of the right side: 0.474291831 Break this problem into two subproblems by setting (x + -0.08695652175) equal to 0.474291831 and -0.474291831.Subproblem 1
x + -0.08695652175 = 0.474291831 Simplifying x + -0.08695652175 = 0.474291831 Reorder the terms: -0.08695652175 + x = 0.474291831 Solving -0.08695652175 + x = 0.474291831 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08695652175' to each side of the equation. -0.08695652175 + 0.08695652175 + x = 0.474291831 + 0.08695652175 Combine like terms: -0.08695652175 + 0.08695652175 = 0.00000000000 0.00000000000 + x = 0.474291831 + 0.08695652175 x = 0.474291831 + 0.08695652175 Combine like terms: 0.474291831 + 0.08695652175 = 0.56124835275 x = 0.56124835275 Simplifying x = 0.56124835275Subproblem 2
x + -0.08695652175 = -0.474291831 Simplifying x + -0.08695652175 = -0.474291831 Reorder the terms: -0.08695652175 + x = -0.474291831 Solving -0.08695652175 + x = -0.474291831 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08695652175' to each side of the equation. -0.08695652175 + 0.08695652175 + x = -0.474291831 + 0.08695652175 Combine like terms: -0.08695652175 + 0.08695652175 = 0.00000000000 0.00000000000 + x = -0.474291831 + 0.08695652175 x = -0.474291831 + 0.08695652175 Combine like terms: -0.474291831 + 0.08695652175 = -0.38733530925 x = -0.38733530925 Simplifying x = -0.38733530925Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.56124835275, -0.38733530925}Solution
x = {0, 0.56124835275, -0.38733530925}
| -3.5x+3.25=4.25 | | -2y=10/7 | | -5v/7=15 | | (5+x^2)(3-x)= | | -2=2w+2 | | 14=-6+v/5 | | 2x+27=4x-11 | | 16.8+-v=6v | | 4x+4x+7y+7y= | | -2(a-5)(a^2+7a)= | | -3(3x-2)=2 | | 3.2a+-16=4a | | 4(x-4)+9=2x+2(-4+x) | | (3+2i)-(8-5i)= | | 2y+8-16y= | | 5(5c-1)-1=22c+6 | | 2x-3=ln(x+1) | | e^2x-3=x+1 | | fx(x)=-2x^2+4x+5 | | fx=0 | | factory^4-y^2-12y+12=0 | | y^4-y^2-12y+12=0 | | 41-16=5(x-4) | | -3+10=13x-4-12x | | 29+5y-3=14y-9-2y | | -x-6-(x^2-4x-5)= | | -12*(-10)=38 | | f+23*7=7 | | 2x+8-x=3x+12-x | | x+18+3x=-35-3x-38 | | -89-8x=7x+26 | | x^2-6ax+9a^2-16=0 |