If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9w3 + -42w2 + -15w = 3w Reorder the terms: -15w + -42w2 + 9w3 = 3w Solving -15w + -42w2 + 9w3 = 3w Solving for variable 'w'. Reorder the terms: -15w + -3w + -42w2 + 9w3 = 3w + -3w Combine like terms: -15w + -3w = -18w -18w + -42w2 + 9w3 = 3w + -3w Combine like terms: 3w + -3w = 0 -18w + -42w2 + 9w3 = 0 Factor out the Greatest Common Factor (GCF), '3w'. 3w(-6 + -14w + 3w2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-6 + -14w + 3w2)' equal to zero and attempt to solve: Simplifying -6 + -14w + 3w2 = 0 Solving -6 + -14w + 3w2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2 + -4.666666667w + w2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -4.666666667w + 2 + w2 = 0 + 2 Reorder the terms: -2 + 2 + -4.666666667w + w2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4.666666667w + w2 = 0 + 2 -4.666666667w + w2 = 0 + 2 Combine like terms: 0 + 2 = 2 -4.666666667w + w2 = 2 The w term is -4.666666667w. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667w + 5.444444448 + w2 = 2 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667w + w2 = 2 + 5.444444448 Combine like terms: 2 + 5.444444448 = 7.444444448 5.444444448 + -4.666666667w + w2 = 7.444444448 Factor a perfect square on the left side: (w + -2.333333334)(w + -2.333333334) = 7.444444448 Calculate the square root of the right side: 2.728450925 Break this problem into two subproblems by setting (w + -2.333333334) equal to 2.728450925 and -2.728450925.Subproblem 1
w + -2.333333334 = 2.728450925 Simplifying w + -2.333333334 = 2.728450925 Reorder the terms: -2.333333334 + w = 2.728450925 Solving -2.333333334 + w = 2.728450925 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2.333333334' to each side of the equation. -2.333333334 + 2.333333334 + w = 2.728450925 + 2.333333334 Combine like terms: -2.333333334 + 2.333333334 = 0.000000000 0.000000000 + w = 2.728450925 + 2.333333334 w = 2.728450925 + 2.333333334 Combine like terms: 2.728450925 + 2.333333334 = 5.061784259 w = 5.061784259 Simplifying w = 5.061784259Subproblem 2
w + -2.333333334 = -2.728450925 Simplifying w + -2.333333334 = -2.728450925 Reorder the terms: -2.333333334 + w = -2.728450925 Solving -2.333333334 + w = -2.728450925 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2.333333334' to each side of the equation. -2.333333334 + 2.333333334 + w = -2.728450925 + 2.333333334 Combine like terms: -2.333333334 + 2.333333334 = 0.000000000 0.000000000 + w = -2.728450925 + 2.333333334 w = -2.728450925 + 2.333333334 Combine like terms: -2.728450925 + 2.333333334 = -0.395117591 w = -0.395117591 Simplifying w = -0.395117591Solution
The solution to the problem is based on the solutions from the subproblems. w = {5.061784259, -0.395117591}Solution
w = {0, 5.061784259, -0.395117591}
| 7=-3j+1 | | 10-2(3X+4)=2X+6 | | 32x+9-7x=49 | | 40y+8=20 | | 20/2=40/x | | -5(2x-6)=70 | | 6(-6v+1)=5(-2v-2) | | -8-8(m-6)=104 | | 2. 7m-5-13m=25 | | 15x-3y=96 | | 2/24=5/n | | (5x+5)+(7x-1)+(6x+7)=180 | | 217,000/4,435 | | a^2+18a-13=0 | | 9-2(b+3)=46 | | -6+(-22)= | | y/-3=-1 | | 15y+(-5)= | | 3x^2-5x-18=10 | | 48=x(x-13x) | | 119=2(6a+7)+3a | | 2x-6=-10x+15 | | 5z=-77.5 | | x-(-68)=132 | | (7p+2)-(2p-5)= | | 5x-3+x=2x+11 | | -1+7=5x-15 | | x-22=0 | | 4x^3+16x^2-128=0 | | 6x-1=2-7 | | 7x=64+2x | | 36x^2+25y^2+144x-150y-531=0 |