If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4.0x2 + 20x + 65 = 85 Reorder the terms: 65 + 20x + -4.0x2 = 85 Solving 65 + 20x + -4.0x2 = 85 Solving for variable 'x'. Reorder the terms: 65 + -85 + 20x + -4.0x2 = 85 + -85 Combine like terms: 65 + -85 = -20 -20 + 20x + -4.0x2 = 85 + -85 Combine like terms: 85 + -85 = 0 -20 + 20x + -4.0x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + 5x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + 5x + -1x2)' equal to zero and attempt to solve: Simplifying -5 + 5x + -1x2 = 0 Solving -5 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 5 + -5x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -5x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -5x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5x + x2 = 0 + -5 -5x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -5x + x2 = -5 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -5 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -5 + 6.25 Combine like terms: -5 + 6.25 = 1.25 6.25 + -5x + x2 = 1.25 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = 1.25 Calculate the square root of the right side: 1.118033989 Break this problem into two subproblems by setting (x + -2.5) equal to 1.118033989 and -1.118033989.Subproblem 1
x + -2.5 = 1.118033989 Simplifying x + -2.5 = 1.118033989 Reorder the terms: -2.5 + x = 1.118033989 Solving -2.5 + x = 1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = 1.118033989 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = 1.118033989 + 2.5 x = 1.118033989 + 2.5 Combine like terms: 1.118033989 + 2.5 = 3.618033989 x = 3.618033989 Simplifying x = 3.618033989Subproblem 2
x + -2.5 = -1.118033989 Simplifying x + -2.5 = -1.118033989 Reorder the terms: -2.5 + x = -1.118033989 Solving -2.5 + x = -1.118033989 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + x = -1.118033989 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + x = -1.118033989 + 2.5 x = -1.118033989 + 2.5 Combine like terms: -1.118033989 + 2.5 = 1.381966011 x = 1.381966011 Simplifying x = 1.381966011Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.618033989, 1.381966011}Solution
x = {3.618033989, 1.381966011}
| 2r^2-5t-12=0 | | -4.0x^2+20x+65= | | 4xy+40xy=1100 | | -36-9=y | | 5x+20y+15=0 | | y^2+20y+352=0 | | X^2-13x+65=0 | | 17=-28+x | | w^2-10w+37=0 | | -3(2x+5)=-4(x-1) | | 2x-16y=64 | | 9-14x-5-7x=7 | | -9(x+3)=-10x | | X^2+2=143 | | 49p^2-4=32 | | 3(x+2)=-9-3(2x+1) | | 2x^2+x+7=4x+5 | | (4-x)(4+x)-x=2(4x+3) | | 5(w+8)-(-3w-7)=7w | | -71/3=p-4/9 | | 8(-5n+7)-7= | | 4x-7=-30 | | x-63=6(2x+3)-15 | | -2x+10y=0 | | -x^2-3x+1= | | -7(x+9)+72=16-8x | | 6x^3-17x+13=20x^3-32 | | 3v^2-24v=0 | | 2(x+8)-2=42-2x | | 40-r=11 | | 7x^2y+3xy^2-7yx^2+2-7y^2x= | | .66x+.33=.66 |