If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20x2 + -204x = 216 Reorder the terms: -204x + 20x2 = 216 Solving -204x + 20x2 = 216 Solving for variable 'x'. Reorder the terms: -216 + -204x + 20x2 = 216 + -216 Combine like terms: 216 + -216 = 0 -216 + -204x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-54 + -51x + 5x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-54 + -51x + 5x2)' equal to zero and attempt to solve: Simplifying -54 + -51x + 5x2 = 0 Solving -54 + -51x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. -10.8 + -10.2x + x2 = 0 Move the constant term to the right: Add '10.8' to each side of the equation. -10.8 + -10.2x + 10.8 + x2 = 0 + 10.8 Reorder the terms: -10.8 + 10.8 + -10.2x + x2 = 0 + 10.8 Combine like terms: -10.8 + 10.8 = 0.0 0.0 + -10.2x + x2 = 0 + 10.8 -10.2x + x2 = 0 + 10.8 Combine like terms: 0 + 10.8 = 10.8 -10.2x + x2 = 10.8 The x term is -10.2x. Take half its coefficient (-5.1). Square it (26.01) and add it to both sides. Add '26.01' to each side of the equation. -10.2x + 26.01 + x2 = 10.8 + 26.01 Reorder the terms: 26.01 + -10.2x + x2 = 10.8 + 26.01 Combine like terms: 10.8 + 26.01 = 36.81 26.01 + -10.2x + x2 = 36.81 Factor a perfect square on the left side: (x + -5.1)(x + -5.1) = 36.81 Calculate the square root of the right side: 6.067124525 Break this problem into two subproblems by setting (x + -5.1) equal to 6.067124525 and -6.067124525.Subproblem 1
x + -5.1 = 6.067124525 Simplifying x + -5.1 = 6.067124525 Reorder the terms: -5.1 + x = 6.067124525 Solving -5.1 + x = 6.067124525 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.1' to each side of the equation. -5.1 + 5.1 + x = 6.067124525 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + x = 6.067124525 + 5.1 x = 6.067124525 + 5.1 Combine like terms: 6.067124525 + 5.1 = 11.167124525 x = 11.167124525 Simplifying x = 11.167124525Subproblem 2
x + -5.1 = -6.067124525 Simplifying x + -5.1 = -6.067124525 Reorder the terms: -5.1 + x = -6.067124525 Solving -5.1 + x = -6.067124525 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.1' to each side of the equation. -5.1 + 5.1 + x = -6.067124525 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + x = -6.067124525 + 5.1 x = -6.067124525 + 5.1 Combine like terms: -6.067124525 + 5.1 = -0.967124525 x = -0.967124525 Simplifying x = -0.967124525Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.167124525, -0.967124525}Solution
x = {11.167124525, -0.967124525}
| 9.99/1000 | | -8(-10+14)=-592 | | 2a-3=2a+7 | | -24=a+9.7 | | 1.5x+3=-x-2 | | -6(-10x+11)=474 | | -6q+5.8= | | 3(14/3)-5 | | 11y/2-5x/2 | | Y-5.81=8.54 | | 16=2d+6 | | 25+5t=30.76+3t | | 8(6x+17)=-392 | | 3/8y-2=4 | | 2-3=5-2 | | 3[4w-8]=2[6w+9] | | 89+50x=250 | | y=-0.05x^2+4.2x-26 | | 2x-2+3x+2+15=360 | | 144=12g | | -8(x+1)-3(x-2)=-(x+2)-10x | | 3/4b=5 | | a+5.7=17.3 | | 8.6=2m | | T=I/Pr | | 2x-2+3x+2+15=180 | | 12-2c= | | 2.5v=20 | | [y-5]-[y+3]=4y | | 200+70w=800 | | -3/8*2/5 | | .75(12-6x)=x+8-7x |