If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 120x3 + 396x2 + -180x = 0 Reorder the terms: -180x + 396x2 + 120x3 = 0 Solving -180x + 396x2 + 120x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(-15 + 33x + 10x2) = 0 Ignore the factor 12.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 '(-15 + 33x + 10x2)' equal to zero and attempt to solve: Simplifying -15 + 33x + 10x2 = 0 Solving -15 + 33x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. -1.5 + 3.3x + x2 = 0.0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + 3.3x + 1.5 + x2 = 0.0 + 1.5 Reorder the terms: -1.5 + 1.5 + 3.3x + x2 = 0.0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3.3x + x2 = 0.0 + 1.5 3.3x + x2 = 0.0 + 1.5 Combine like terms: 0.0 + 1.5 = 1.5 3.3x + x2 = 1.5 The x term is 3.3x. Take half its coefficient (1.65). Square it (2.7225) and add it to both sides. Add '2.7225' to each side of the equation. 3.3x + 2.7225 + x2 = 1.5 + 2.7225 Reorder the terms: 2.7225 + 3.3x + x2 = 1.5 + 2.7225 Combine like terms: 1.5 + 2.7225 = 4.2225 2.7225 + 3.3x + x2 = 4.2225 Factor a perfect square on the left side: (x + 1.65)(x + 1.65) = 4.2225 Calculate the square root of the right side: 2.054872259 Break this problem into two subproblems by setting (x + 1.65) equal to 2.054872259 and -2.054872259.Subproblem 1
x + 1.65 = 2.054872259 Simplifying x + 1.65 = 2.054872259 Reorder the terms: 1.65 + x = 2.054872259 Solving 1.65 + x = 2.054872259 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65' to each side of the equation. 1.65 + -1.65 + x = 2.054872259 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + x = 2.054872259 + -1.65 x = 2.054872259 + -1.65 Combine like terms: 2.054872259 + -1.65 = 0.404872259 x = 0.404872259 Simplifying x = 0.404872259Subproblem 2
x + 1.65 = -2.054872259 Simplifying x + 1.65 = -2.054872259 Reorder the terms: 1.65 + x = -2.054872259 Solving 1.65 + x = -2.054872259 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.65' to each side of the equation. 1.65 + -1.65 + x = -2.054872259 + -1.65 Combine like terms: 1.65 + -1.65 = 0.00 0.00 + x = -2.054872259 + -1.65 x = -2.054872259 + -1.65 Combine like terms: -2.054872259 + -1.65 = -3.704872259 x = -3.704872259 Simplifying x = -3.704872259Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.404872259, -3.704872259}Solution
x = {0, 0.404872259, -3.704872259}
| 3e^5x+2=7 | | 2(7)+5y=24 | | 3(5x+1)+5(x+6)= | | 0.3333333x^2+7x-7=-x+1 | | 10x^2+33x-15=0 | | -14=-2+3x | | a=[(x-5)(x+3)+(2x+4)(x+1)](x+0.3333333) | | 4x^2-12x+1=6 | | 8x^2-7x+6=0 | | 36=(2x+3y) | | a=[(x-5)(x+3)+(2x+4)(x+1)](x+3) | | 8y-3=n+2y | | -3(d+5)=30 | | -2+2x=-8+11 | | -17=4(v-5)-7v | | .75=logx | | 8+2(12-2m)= | | 18+6x-12=-4(2-x) | | 65-2x=9-10x | | 4e^5x+6=134 | | 6y=-15byfraction | | y(xy+2x^2y^2)dx+x(xy-x^2y^2)dy=0 | | -2+6x=48 | | 18+6x-12=-4(2-c)+9x | | 9d-7=38 | | -16t^2-112t=0 | | 7-64=54+24 | | 4x+x+9=65 | | 4x+x-9=65 | | 10s-50=-104 | | 7X-5[5x-3(4x-2)-1]=0 | | P^2-13p+42= |