If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x(4x + -10) + 80 = 360 Reorder the terms: 5x(-10 + 4x) + 80 = 360 (-10 * 5x + 4x * 5x) + 80 = 360 (-50x + 20x2) + 80 = 360 Reorder the terms: 80 + -50x + 20x2 = 360 Solving 80 + -50x + 20x2 = 360 Solving for variable 'x'. Reorder the terms: 80 + -360 + -50x + 20x2 = 360 + -360 Combine like terms: 80 + -360 = -280 -280 + -50x + 20x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -280 + -50x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-28 + -5x + 2x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-28 + -5x + 2x2)' equal to zero and attempt to solve: Simplifying -28 + -5x + 2x2 = 0 Solving -28 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -14 + -2.5x + x2 = 0 Move the constant term to the right: Add '14' to each side of the equation. -14 + -2.5x + 14 + x2 = 0 + 14 Reorder the terms: -14 + 14 + -2.5x + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2.5x + x2 = 0 + 14 -2.5x + x2 = 0 + 14 Combine like terms: 0 + 14 = 14 -2.5x + x2 = 14 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = 14 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = 14 + 1.5625 Combine like terms: 14 + 1.5625 = 15.5625 1.5625 + -2.5x + x2 = 15.5625 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = 15.5625 Calculate the square root of the right side: 3.94493346 Break this problem into two subproblems by setting (x + -1.25) equal to 3.94493346 and -3.94493346.Subproblem 1
x + -1.25 = 3.94493346 Simplifying x + -1.25 = 3.94493346 Reorder the terms: -1.25 + x = 3.94493346 Solving -1.25 + x = 3.94493346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 3.94493346 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 3.94493346 + 1.25 x = 3.94493346 + 1.25 Combine like terms: 3.94493346 + 1.25 = 5.19493346 x = 5.19493346 Simplifying x = 5.19493346Subproblem 2
x + -1.25 = -3.94493346 Simplifying x + -1.25 = -3.94493346 Reorder the terms: -1.25 + x = -3.94493346 Solving -1.25 + x = -3.94493346 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -3.94493346 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -3.94493346 + 1.25 x = -3.94493346 + 1.25 Combine like terms: -3.94493346 + 1.25 = -2.69493346 x = -2.69493346 Simplifying x = -2.69493346Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.19493346, -2.69493346}Solution
x = {5.19493346, -2.69493346}
| -3(8+3m)=-3(6m-4) | | 18v^9*w^8-24v^3*w^5*y^2=0 | | 7(x-4)=2c-3 | | 6(w-1)=7(3f+5) | | 2x+3forx=10 | | 16=x/8 | | 7(x-4)=2c-2 | | 6x+56=A | | 16=6/8 | | 40=360-4r | | 75(t-2)=100t | | 3(x-1)-7=17 | | 36-21=x-7 | | -3(6-6b)=-18+3b | | 3x+4=(x-1) | | 2y-4=3y-10 | | -7n+7(-2n-1)=-35-7n | | -4x=1.5 | | 5(3x+2)=105 | | -1.8r+9=-5.7r-6 | | 30(8.74)+11t=400 | | 4x+20+2x+1=39 | | -4z-3-5z=-15 | | (7x+57)=40+(5x+25) | | H+8=h+10 | | 6x+20y=270 | | 4x-40=360-r | | 0.15(40)+0.66x=0.40(40+x) | | 2/3v=-5 | | 3/4(2)^2 | | -5b+34=-8(b-6)+6b | | 3.33(x+0.5)=0.3 |