If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x(1 + x) * 5 = 24 Reorder the terms for easier multiplication: 10 * 5x(1 + x) = 24 Multiply 10 * 5 50x(1 + x) = 24 (1 * 50x + x * 50x) = 24 (50x + 50x2) = 24 Solving 50x + 50x2 = 24 Solving for variable 'x'. Reorder the terms: -24 + 50x + 50x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 50x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 25x + 25x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 25x + 25x2)' equal to zero and attempt to solve: Simplifying -12 + 25x + 25x2 = 0 Solving -12 + 25x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. -0.48 + x + x2 = 0 Move the constant term to the right: Add '0.48' to each side of the equation. -0.48 + x + 0.48 + x2 = 0 + 0.48 Reorder the terms: -0.48 + 0.48 + x + x2 = 0 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + x + x2 = 0 + 0.48 x + x2 = 0 + 0.48 Combine like terms: 0 + 0.48 = 0.48 x + x2 = 0.48 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = 0.48 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = 0.48 + 0.25 Combine like terms: 0.48 + 0.25 = 0.73 1.25 + x2 = 0.73 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.73 Calculate the square root of the right side: 0.854400375 Break this problem into two subproblems by setting (x + 0.5) equal to 0.854400375 and -0.854400375.Subproblem 1
x + 0.5 = 0.854400375 Simplifying x + 0.5 = 0.854400375 Reorder the terms: 0.5 + x = 0.854400375 Solving 0.5 + x = 0.854400375 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.854400375 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.854400375 + -0.5 x = 0.854400375 + -0.5 Combine like terms: 0.854400375 + -0.5 = 0.354400375 x = 0.354400375 Simplifying x = 0.354400375Subproblem 2
x + 0.5 = -0.854400375 Simplifying x + 0.5 = -0.854400375 Reorder the terms: 0.5 + x = -0.854400375 Solving 0.5 + x = -0.854400375 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -0.854400375 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -0.854400375 + -0.5 x = -0.854400375 + -0.5 Combine like terms: -0.854400375 + -0.5 = -1.354400375 x = -1.354400375 Simplifying x = -1.354400375Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.354400375, -1.354400375}Solution
x = {0.354400375, -1.354400375}
| 13x+10=.5(15+5x) | | -[8z-(14z+5)]=5+(5z+10) | | 20+5y=10 | | 6x-11=2x+3 | | -3x+9=0 | | A^2-5a+2a-10= | | 0.4(z+1)-0.7z=-0.1z+0.7-0.2z-0.3 | | x^2+14=64 | | 9z-27-2z+10=4z+4+3z-21 | | x^4-6x^3+10x^2+2x-15= | | x^2+14X=64 | | 20-16x=0 | | 4(m+8)=12 | | 5(4z-1)-4(z+8)=12(z+1) | | 0-3y=6 | | 21t+4=3-t | | 0.9(z-3)-0.2(z-5)=0.4(z+1)+0.3z-2.1 | | 3+6x=5x+3 | | 7A+4A=88 | | 16t+4=3-t | | x(x+14)=64 | | 20t+2=1 | | 0.9x-3= | | 2(t-1)=4-2t | | abs(-8x-7)=abs(4-2x) | | -8x+4.5=5 | | (2x+3)=(5x-9) | | 5=-s/2+4 | | 4z+4-7z=-1z+7-2z-3 | | 8(8+14)=x^2 | | -8x+2=5 | | 125x=25x |