If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 6x = 180 Reorder the terms: 6x + 3x2 = 180 Solving 6x + 3x2 = 180 Solving for variable 'x'. Reorder the terms: -180 + 6x + 3x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-60 + 2x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-60 + 2x + x2)' equal to zero and attempt to solve: Simplifying -60 + 2x + x2 = 0 Solving -60 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '60' to each side of the equation. -60 + 2x + 60 + x2 = 0 + 60 Reorder the terms: -60 + 60 + 2x + x2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 2x + x2 = 0 + 60 2x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 2x + x2 = 60 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 60 + 1 Reorder the terms: 1 + 2x + x2 = 60 + 1 Combine like terms: 60 + 1 = 61 1 + 2x + x2 = 61 Factor a perfect square on the left side: (x + 1)(x + 1) = 61 Calculate the square root of the right side: 7.810249676 Break this problem into two subproblems by setting (x + 1) equal to 7.810249676 and -7.810249676.Subproblem 1
x + 1 = 7.810249676 Simplifying x + 1 = 7.810249676 Reorder the terms: 1 + x = 7.810249676 Solving 1 + x = 7.810249676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 7.810249676 + -1 Combine like terms: 1 + -1 = 0 0 + x = 7.810249676 + -1 x = 7.810249676 + -1 Combine like terms: 7.810249676 + -1 = 6.810249676 x = 6.810249676 Simplifying x = 6.810249676Subproblem 2
x + 1 = -7.810249676 Simplifying x + 1 = -7.810249676 Reorder the terms: 1 + x = -7.810249676 Solving 1 + x = -7.810249676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -7.810249676 + -1 Combine like terms: 1 + -1 = 0 0 + x = -7.810249676 + -1 x = -7.810249676 + -1 Combine like terms: -7.810249676 + -1 = -8.810249676 x = -8.810249676 Simplifying x = -8.810249676Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.810249676, -8.810249676}Solution
x = {6.810249676, -8.810249676}
| Y-(-5)=10 | | t/6-1=9 | | 10=6x+8-17 | | 10+6=96 | | 5f+5=27 | | 6r+39=3 | | 6w=-0.12 | | 12x^3+6x^2+2x-1=0 | | 3.2n=320 | | 4g=38 | | 3y-4z=17 | | x/5=2x-9/x-4 | | x^2-5+-x+6=0 | | x^2-3x-21=5x-1 | | x^2+19x+24=6x-2 | | x^2+x-16=4 | | 6y-8=27 | | 8+7x=x+56 | | 3x+2y-z=0 | | X=(5/8)y | | -2(1-2a)=4(5a-2) | | 9(p-4)=12 | | 7x^7+6x^6=0 | | ln(X)=119.888 | | X^2=(x-2)(x+2) | | -3x-4y=-6 | | 45000*5/100 | | 6k^2=5k+6 | | lnX=119.888 | | 8x/14=352 | | 8/X=352 | | 14x/8=352 |