If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 1250 = (0.1) * x(300 + -1x) 1250 = (300 * 0.1x + -1x * 0.1x) 1250 = (30x + -0.1x2) Solving 1250 = 30x + -0.1x2 Solving for variable 'x'. Reorder the terms: 1250 + -30x + 0.1x2 = 30x + -30x + -0.1x2 + 0.1x2 Combine like terms: 30x + -30x = 0 1250 + -30x + 0.1x2 = 0 + -0.1x2 + 0.1x2 1250 + -30x + 0.1x2 = -0.1x2 + 0.1x2 Combine like terms: -0.1x2 + 0.1x2 = 0.0 1250 + -30x + 0.1x2 = 0.0 Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 12500 + -300x + x2 = 0 Move the constant term to the right: Add '-12500' to each side of the equation. 12500 + -300x + -12500 + x2 = 0 + -12500 Reorder the terms: 12500 + -12500 + -300x + x2 = 0 + -12500 Combine like terms: 12500 + -12500 = 0 0 + -300x + x2 = 0 + -12500 -300x + x2 = 0 + -12500 Combine like terms: 0 + -12500 = -12500 -300x + x2 = -12500 The x term is -300x. Take half its coefficient (-150). Square it (22500) and add it to both sides. Add '22500' to each side of the equation. -300x + 22500 + x2 = -12500 + 22500 Reorder the terms: 22500 + -300x + x2 = -12500 + 22500 Combine like terms: -12500 + 22500 = 10000 22500 + -300x + x2 = 10000 Factor a perfect square on the left side: (x + -150)(x + -150) = 10000 Calculate the square root of the right side: 100 Break this problem into two subproblems by setting (x + -150) equal to 100 and -100.Subproblem 1
x + -150 = 100 Simplifying x + -150 = 100 Reorder the terms: -150 + x = 100 Solving -150 + x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + x = 100 + 150 Combine like terms: -150 + 150 = 0 0 + x = 100 + 150 x = 100 + 150 Combine like terms: 100 + 150 = 250 x = 250 Simplifying x = 250Subproblem 2
x + -150 = -100 Simplifying x + -150 = -100 Reorder the terms: -150 + x = -100 Solving -150 + x = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + 150 + x = -100 + 150 Combine like terms: -150 + 150 = 0 0 + x = -100 + 150 x = -100 + 150 Combine like terms: -100 + 150 = 50 x = 50 Simplifying x = 50Solution
The solution to the problem is based on the solutions from the subproblems. x = {250, 50}
| 9-9a=5-(-3a) | | 5x^2-97x-38=0 | | 7(x-7)=0 | | -15n+18n+4n-20n=13 | | 1250=2x(300-x) | | 1/3x-4=8 | | 6x+16-5x=-3-10 | | g(-4t)=t-4 | | 9s+2s-8s=18 | | 21/14=w/4 | | 7x^7y^3/14x^5y^4 | | 3(x+4)=2x+20 | | 9/6=t/4 | | 4x-2(x-4)=-6+5x-4 | | 2(5-4x)=4(2-4x) | | a^2-8a+3=0 | | 20+5x+y=0 | | 9w-4w-3w+5w=14 | | 1.80*x=12 | | 7ln(x-2)=9 | | h=16x^2+30x+4 | | X^2/3-X-1/6=0 | | X^2/3-X-1/6=-0 | | x+x-x+x-x=17 | | 2.50x+108=1000 | | w=-29+1.4(32) | | 7a+(-10)-2a=1 | | 7lnx-2=9 | | G/3-7= | | 5x-1+67-x+7x+16=180 | | t-184.9=-109.3 | | .15x^2-14x+.125=0 |