If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + -28t + 250 = 0 Reorder the terms: 250 + -28t + -16t2 = 0 Solving 250 + -28t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(125 + -14t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(125 + -14t + -8t2)' equal to zero and attempt to solve: Simplifying 125 + -14t + -8t2 = 0 Solving 125 + -14t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -15.625 + 1.75t + t2 = 0 Move the constant term to the right: Add '15.625' to each side of the equation. -15.625 + 1.75t + 15.625 + t2 = 0 + 15.625 Reorder the terms: -15.625 + 15.625 + 1.75t + t2 = 0 + 15.625 Combine like terms: -15.625 + 15.625 = 0.000 0.000 + 1.75t + t2 = 0 + 15.625 1.75t + t2 = 0 + 15.625 Combine like terms: 0 + 15.625 = 15.625 1.75t + t2 = 15.625 The t term is 1.75t. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75t + 0.765625 + t2 = 15.625 + 0.765625 Reorder the terms: 0.765625 + 1.75t + t2 = 15.625 + 0.765625 Combine like terms: 15.625 + 0.765625 = 16.390625 0.765625 + 1.75t + t2 = 16.390625 Factor a perfect square on the left side: (t + 0.875)(t + 0.875) = 16.390625 Calculate the square root of the right side: 4.048533685 Break this problem into two subproblems by setting (t + 0.875) equal to 4.048533685 and -4.048533685.Subproblem 1
t + 0.875 = 4.048533685 Simplifying t + 0.875 = 4.048533685 Reorder the terms: 0.875 + t = 4.048533685 Solving 0.875 + t = 4.048533685 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + t = 4.048533685 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + t = 4.048533685 + -0.875 t = 4.048533685 + -0.875 Combine like terms: 4.048533685 + -0.875 = 3.173533685 t = 3.173533685 Simplifying t = 3.173533685Subproblem 2
t + 0.875 = -4.048533685 Simplifying t + 0.875 = -4.048533685 Reorder the terms: 0.875 + t = -4.048533685 Solving 0.875 + t = -4.048533685 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + t = -4.048533685 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + t = -4.048533685 + -0.875 t = -4.048533685 + -0.875 Combine like terms: -4.048533685 + -0.875 = -4.923533685 t = -4.923533685 Simplifying t = -4.923533685Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.173533685, -4.923533685}Solution
t = {3.173533685, -4.923533685}
| 1.6n+0.8=(n+10)(0.7)+0.1 | | 3x^2+6x+15=0 | | -5x-7=9x+21 | | 2(-m+7)+m=16-3m | | -16t^2-28x+250=0 | | 7(y-2)/5=-4y | | 4y-2n=9 | | 4x^2+10x=-10x-25 | | 1.8a-5=-2.3 | | 8x^2+11x+3= | | 36+b=6(-2n-4)+b | | 3(7x+1)=9-3(x-4) | | 2x^2-3=-93 | | 6n^2+17n+7= | | 15x=72 | | 5.3x-2.68=2.12-6.7x | | 1.2x-1.7-2.1x=-1.9x-2.6 | | b^2+5b-50= | | n^2-8n-20= | | 3.5-2x=x+7.5 | | p^2+6p-7= | | 7.6x-3.5x=-65.6 | | 11x+8-4=10x-3 | | k^2-16k+60= | | 8.2x-3.5x=-84.6 | | x-5rx-36=0 | | n^2+17n+72= | | 6x+9=-111 | | 13x+4(3-6x)= | | -7-8x=5(5-8x) | | 9(x-8)+x=10(x-8)+8 | | -4(6x-4)=-36+2x |