If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20x3 + -15x2 + -7x = 45x2 + -38x Reorder the terms: -7x + -15x2 + 20x3 = 45x2 + -38x Reorder the terms: -7x + -15x2 + 20x3 = -38x + 45x2 Solving -7x + -15x2 + 20x3 = -38x + 45x2 Solving for variable 'x'. Reorder the terms: -7x + 38x + -15x2 + -45x2 + 20x3 = -38x + 45x2 + 38x + -45x2 Combine like terms: -7x + 38x = 31x 31x + -15x2 + -45x2 + 20x3 = -38x + 45x2 + 38x + -45x2 Combine like terms: -15x2 + -45x2 = -60x2 31x + -60x2 + 20x3 = -38x + 45x2 + 38x + -45x2 Reorder the terms: 31x + -60x2 + 20x3 = -38x + 38x + 45x2 + -45x2 Combine like terms: -38x + 38x = 0 31x + -60x2 + 20x3 = 0 + 45x2 + -45x2 31x + -60x2 + 20x3 = 45x2 + -45x2 Combine like terms: 45x2 + -45x2 = 0 31x + -60x2 + 20x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(31 + -60x + 20x2) = 0Subproblem 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 '(31 + -60x + 20x2)' equal to zero and attempt to solve: Simplifying 31 + -60x + 20x2 = 0 Solving 31 + -60x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.55 + -3x + x2 = 0 Move the constant term to the right: Add '-1.55' to each side of the equation. 1.55 + -3x + -1.55 + x2 = 0 + -1.55 Reorder the terms: 1.55 + -1.55 + -3x + x2 = 0 + -1.55 Combine like terms: 1.55 + -1.55 = 0.00 0.00 + -3x + x2 = 0 + -1.55 -3x + x2 = 0 + -1.55 Combine like terms: 0 + -1.55 = -1.55 -3x + x2 = -1.55 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -1.55 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -1.55 + 2.25 Combine like terms: -1.55 + 2.25 = 0.7 2.25 + -3x + x2 = 0.7 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 0.7 Calculate the square root of the right side: 0.836660027 Break this problem into two subproblems by setting (x + -1.5) equal to 0.836660027 and -0.836660027.Subproblem 1
x + -1.5 = 0.836660027 Simplifying x + -1.5 = 0.836660027 Reorder the terms: -1.5 + x = 0.836660027 Solving -1.5 + x = 0.836660027 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 0.836660027 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 0.836660027 + 1.5 x = 0.836660027 + 1.5 Combine like terms: 0.836660027 + 1.5 = 2.336660027 x = 2.336660027 Simplifying x = 2.336660027Subproblem 2
x + -1.5 = -0.836660027 Simplifying x + -1.5 = -0.836660027 Reorder the terms: -1.5 + x = -0.836660027 Solving -1.5 + x = -0.836660027 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -0.836660027 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -0.836660027 + 1.5 x = -0.836660027 + 1.5 Combine like terms: -0.836660027 + 1.5 = 0.663339973 x = 0.663339973 Simplifying x = 0.663339973Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.336660027, 0.663339973}Solution
x = {0, 2.336660027, 0.663339973}
| 0.6x^2+1.2x-0.6=0 | | 12u^2-13u-6= | | 6x-3=4x+4x+7 | | 452=-q^2-2q+515 | | 15z+6-5z=6z-4 | | (x-4+i)(x-4-i)=0 | | 6(m-5)=3(3m+4) | | -16+3n=n-2 | | 374=-q^2-2q+517 | | -2(4n+4)=-2(3n-4) | | 2(-6v+3)+8=110 | | 10z+6=6z-4 | | -4(x-2)-4(x-2)=40 | | 6x-6=y+10 | | -(-2-r)+2(-4-3)=3 | | 17-(6x+3)=-6 | | 3(x-4)2-75=0 | | 8k+4(k+6)=108 | | 8+a+1-3=1+6a | | 8-10n=-8n-4n | | -6m+9-4m=-10m+9 | | 5x-4=18-2 | | 24x+288=36y | | 4(7m-5)=4(-12+11m)+12 | | 5x-4+4=18-2 | | 5b+5(1-b)=8-b | | F=HN*N | | fx=-1.25x+3 | | -19-7x+9x=x-10 | | f=gnome*n | | 3f+9=28 | | 4z^2+29=24z |