If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 10x2 + 30x + -140 Reorder the terms: 0 = -140 + 30x + 10x2 Solving 0 = -140 + 30x + 10x2 Solving for variable 'x'. Combine like terms: 0 + 140 = 140 140 + -30x + -10x2 = -140 + 30x + 10x2 + 140 + -30x + -10x2 Reorder the terms: 140 + -30x + -10x2 = -140 + 140 + 30x + -30x + 10x2 + -10x2 Combine like terms: -140 + 140 = 0 140 + -30x + -10x2 = 0 + 30x + -30x + 10x2 + -10x2 140 + -30x + -10x2 = 30x + -30x + 10x2 + -10x2 Combine like terms: 30x + -30x = 0 140 + -30x + -10x2 = 0 + 10x2 + -10x2 140 + -30x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 140 + -30x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(14 + -3x + -1x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(14 + -3x + -1x2)' equal to zero and attempt to solve: Simplifying 14 + -3x + -1x2 = 0 Solving 14 + -3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -14 + 3x + x2 = 0 Move the constant term to the right: Add '14' to each side of the equation. -14 + 3x + 14 + x2 = 0 + 14 Reorder the terms: -14 + 14 + 3x + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x + x2 = 0 + 14 3x + x2 = 0 + 14 Combine like terms: 0 + 14 = 14 3x + x2 = 14 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 = 14 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 14 + 2.25 Combine like terms: 14 + 2.25 = 16.25 2.25 + 3x + x2 = 16.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 16.25 Calculate the square root of the right side: 4.031128874 Break this problem into two subproblems by setting (x + 1.5) equal to 4.031128874 and -4.031128874.Subproblem 1
x + 1.5 = 4.031128874 Simplifying x + 1.5 = 4.031128874 Reorder the terms: 1.5 + x = 4.031128874 Solving 1.5 + x = 4.031128874 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 = 4.031128874 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 4.031128874 + -1.5 x = 4.031128874 + -1.5 Combine like terms: 4.031128874 + -1.5 = 2.531128874 x = 2.531128874 Simplifying x = 2.531128874Subproblem 2
x + 1.5 = -4.031128874 Simplifying x + 1.5 = -4.031128874 Reorder the terms: 1.5 + x = -4.031128874 Solving 1.5 + x = -4.031128874 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 = -4.031128874 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -4.031128874 + -1.5 x = -4.031128874 + -1.5 Combine like terms: -4.031128874 + -1.5 = -5.531128874 x = -5.531128874 Simplifying x = -5.531128874Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.531128874, -5.531128874}Solution
x = {2.531128874, -5.531128874}
| -6x-9=6x-45 | | 4-5x=-x+28 | | 2x-4/5+X+11/2=2 | | 82x-1=80x+1 | | x-f=-x+f+4g | | X+2x-1=2 | | D(x)=-2x+4 | | Y=1000(1.75) | | x(x+2)=10x(x+14) | | -3+x=5x-11 | | S(x)=.8x-2 | | n^2+17n+60=0 | | 2d-x=4x+d-5e | | -10-x=x-34 | | 2x^2-16x+2m=0 | | 9x^2+138x=0 | | Y=172(1+0.3) | | 6x+a=4x+b | | 3x+40=x+50 | | 7n-5=3 | | P(x)=-7x+-5 | | x/5-3/4=2 | | 9+7x=x+81 | | 10b-8b=20 | | -5x-3=7x-87 | | 6n-1=3 | | x^2-2x=10x+140 | | -11+3(6+5)=7 | | 6x-7y=-76 | | 9+6x=-4+99 | | -2x-3=-17+5x | | 35x+50+46-6x=180 |