If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x(3x + -1) + 3x(3x + -1) = 5(2x + 2) Reorder the terms: 3x(-1 + 3x) + 3x(3x + -1) = 5(2x + 2) (-1 * 3x + 3x * 3x) + 3x(3x + -1) = 5(2x + 2) (-3x + 9x2) + 3x(3x + -1) = 5(2x + 2) Reorder the terms: -3x + 9x2 + 3x(-1 + 3x) = 5(2x + 2) -3x + 9x2 + (-1 * 3x + 3x * 3x) = 5(2x + 2) -3x + 9x2 + (-3x + 9x2) = 5(2x + 2) Reorder the terms: -3x + -3x + 9x2 + 9x2 = 5(2x + 2) Combine like terms: -3x + -3x = -6x -6x + 9x2 + 9x2 = 5(2x + 2) Combine like terms: 9x2 + 9x2 = 18x2 -6x + 18x2 = 5(2x + 2) Reorder the terms: -6x + 18x2 = 5(2 + 2x) -6x + 18x2 = (2 * 5 + 2x * 5) -6x + 18x2 = (10 + 10x) Solving -6x + 18x2 = 10 + 10x Solving for variable 'x'. Reorder the terms: -10 + -6x + -10x + 18x2 = 10 + 10x + -10 + -10x Combine like terms: -6x + -10x = -16x -10 + -16x + 18x2 = 10 + 10x + -10 + -10x Reorder the terms: -10 + -16x + 18x2 = 10 + -10 + 10x + -10x Combine like terms: 10 + -10 = 0 -10 + -16x + 18x2 = 0 + 10x + -10x -10 + -16x + 18x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -10 + -16x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -8x + 9x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -8x + 9x2)' equal to zero and attempt to solve: Simplifying -5 + -8x + 9x2 = 0 Solving -5 + -8x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.5555555556 + -0.8888888889x + x2 = 0 Move the constant term to the right: Add '0.5555555556' to each side of the equation. -0.5555555556 + -0.8888888889x + 0.5555555556 + x2 = 0 + 0.5555555556 Reorder the terms: -0.5555555556 + 0.5555555556 + -0.8888888889x + x2 = 0 + 0.5555555556 Combine like terms: -0.5555555556 + 0.5555555556 = 0.0000000000 0.0000000000 + -0.8888888889x + x2 = 0 + 0.5555555556 -0.8888888889x + x2 = 0 + 0.5555555556 Combine like terms: 0 + 0.5555555556 = 0.5555555556 -0.8888888889x + x2 = 0.5555555556 The x term is -0.8888888889x. Take half its coefficient (-0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. -0.8888888889x + 0.1975308642 + x2 = 0.5555555556 + 0.1975308642 Reorder the terms: 0.1975308642 + -0.8888888889x + x2 = 0.5555555556 + 0.1975308642 Combine like terms: 0.5555555556 + 0.1975308642 = 0.7530864198 0.1975308642 + -0.8888888889x + x2 = 0.7530864198 Factor a perfect square on the left side: (x + -0.4444444445)(x + -0.4444444445) = 0.7530864198 Calculate the square root of the right side: 0.86780552 Break this problem into two subproblems by setting (x + -0.4444444445) equal to 0.86780552 and -0.86780552.Subproblem 1
x + -0.4444444445 = 0.86780552 Simplifying x + -0.4444444445 = 0.86780552 Reorder the terms: -0.4444444445 + x = 0.86780552 Solving -0.4444444445 + x = 0.86780552 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4444444445' to each side of the equation. -0.4444444445 + 0.4444444445 + x = 0.86780552 + 0.4444444445 Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000 0.0000000000 + x = 0.86780552 + 0.4444444445 x = 0.86780552 + 0.4444444445 Combine like terms: 0.86780552 + 0.4444444445 = 1.3122499645 x = 1.3122499645 Simplifying x = 1.3122499645Subproblem 2
x + -0.4444444445 = -0.86780552 Simplifying x + -0.4444444445 = -0.86780552 Reorder the terms: -0.4444444445 + x = -0.86780552 Solving -0.4444444445 + x = -0.86780552 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4444444445' to each side of the equation. -0.4444444445 + 0.4444444445 + x = -0.86780552 + 0.4444444445 Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000 0.0000000000 + x = -0.86780552 + 0.4444444445 x = -0.86780552 + 0.4444444445 Combine like terms: -0.86780552 + 0.4444444445 = -0.4233610755 x = -0.4233610755 Simplifying x = -0.4233610755Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.3122499645, -0.4233610755}Solution
x = {1.3122499645, -0.4233610755}
| Qs=4P-120 | | -5(t-4)(t+2)=0 | | 12=2+5y | | 3x+5x=39 | | 7d-12+12d+3=63 | | 2.5x+11+2.5x+11=47 | | x-100=534 | | 0.2y-0.2y=0 | | -3y+6x=-6 | | 9x^2-10x+2=0 | | 4x-36=84 | | 7x-35=80 | | 2.5(6)+1.4y=22 | | 12g-6=175 | | d+-9.19=-10.95 | | 4x+5(-9)=-10 | | -h=6.89 | | 0.14(y-8)+0.08y=0.10y-0.01(40) | | 3p=8.55 | | -3k=12.78 | | 989.11*-0.01= | | h+7=1.92 | | -x^2-10x-29= | | 4(4a-4)+3a= | | s+1.6=1.3 | | 18x^2-34x-16=0 | | 20y=30x-10 | | 5(x+2)-x= | | y=-x^2-4x-6 | | -31=8(w-2)-5w | | y+-83=-29 | | 2y^5+30y^4+108y^3=0 |