If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(2x2 + 3x + -4) = 0 Reorder the terms: 3x(-4 + 3x + 2x2) = 0 (-4 * 3x + 3x * 3x + 2x2 * 3x) = 0 (-12x + 9x2 + 6x3) = 0 Solving -12x + 9x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + 3x + 2x2) = 0 Ignore the factor 3.Subproblem 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 '(-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 = 0.850781059 x = 0.850781059 Simplifying x = 0.850781059Subproblem 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 = -2.350781059 x = -2.350781059 Simplifying x = -2.350781059Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.850781059, -2.350781059}Solution
x = {0, 0.850781059, -2.350781059}
| 5+1=12+3h | | 2-3(1-2x)=4x-11 | | 3x^2(3x^2+6x-9)=0 | | 4(-2x-6)=3x+3 | | 2y+3=5x+1 | | Y-20=-0.6(x-4) | | -3x-6=2(x+3) | | 7x-3=9x-2 | | z^2=45+12z | | 12=5a-5a | | -10d-3=4d+11 | | 2y+7+37=180 | | -4(x+8)=-5(x-4) | | -0.3-(1-7r)=-5+3.7r | | 8x+(n-1)=5n-2(n+1) | | 2y+5=3y-8 | | 0=x^2+19x-42 | | 3x^3(2x^2+3x-4)=0 | | 15+3(m-9)=4m | | Y-(-3)=4(x-(-1)) | | 9c+1=3c+13 | | 6n+3=2n+27 | | 4y+32-3y-15=3y+3 | | K^4=64k | | 15x+12-20=13x-4 | | 0=y^2+5y+6 | | 3/4x25/2 | | 46XN=0 | | -3/4x25/2 | | 4sec^2(8)=0 | | 8y-24=36 | | x=(1.9)(1.4) |