If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x(2x + 3) = 5(2 + 3) Reorder the terms: x(3 + 2x) = 5(2 + 3) (3 * x + 2x * x) = 5(2 + 3) (3x + 2x2) = 5(2 + 3) Combine like terms: 2 + 3 = 5 3x + 2x2 = 5(5) Multiply 5 * 5 3x + 2x2 = 25 Solving 3x + 2x2 = 25 Solving for variable 'x'. Reorder the terms: -25 + 3x + 2x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -12.5 + 1.5x + x2 = 0 Move the constant term to the right: Add '12.5' to each side of the equation. -12.5 + 1.5x + 12.5 + x2 = 0 + 12.5 Reorder the terms: -12.5 + 12.5 + 1.5x + x2 = 0 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + 1.5x + x2 = 0 + 12.5 1.5x + x2 = 0 + 12.5 Combine like terms: 0 + 12.5 = 12.5 1.5x + x2 = 12.5 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 12.5 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 12.5 + 0.5625 Combine like terms: 12.5 + 0.5625 = 13.0625 0.5625 + 1.5x + x2 = 13.0625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 13.0625 Calculate the square root of the right side: 3.614208074 Break this problem into two subproblems by setting (x + 0.75) equal to 3.614208074 and -3.614208074.Subproblem 1
x + 0.75 = 3.614208074 Simplifying x + 0.75 = 3.614208074 Reorder the terms: 0.75 + x = 3.614208074 Solving 0.75 + x = 3.614208074 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 3.614208074 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 3.614208074 + -0.75 x = 3.614208074 + -0.75 Combine like terms: 3.614208074 + -0.75 = 2.864208074 x = 2.864208074 Simplifying x = 2.864208074Subproblem 2
x + 0.75 = -3.614208074 Simplifying x + 0.75 = -3.614208074 Reorder the terms: 0.75 + x = -3.614208074 Solving 0.75 + x = -3.614208074 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -3.614208074 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -3.614208074 + -0.75 x = -3.614208074 + -0.75 Combine like terms: -3.614208074 + -0.75 = -4.364208074 x = -4.364208074 Simplifying x = -4.364208074Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.864208074, -4.364208074}
| -3.4+8-13= | | 3x-4(0)=8 | | 7x+8-6x-5= | | 16y^3-2-y+32y^2=0 | | 316=2(7x+7)+2(4x-3) | | 2+6x=3x-13 | | .5x-4-3x=3x-49 | | Y-12=-9x | | 3x-2=7x-14 | | (-6v^2+5v+2)+(-9v^2-7v+3)-(-6v^2+9v+1)= | | 2y=x-4 | | 2g-61=-6g-21 | | y=24(60)-100 | | 5-5x=5x-75 | | 3x^4-12x^2+12x-24=0 | | -3+6+2g=15 | | 15+2w+6=5w+21-3w | | 3x^4-12x^2+12x-24= | | 4(x+9)=40 | | 6x+2y=560 | | 14=5k-13 | | 3x+8=2x+6+x | | 2(3w)+2w= | | 9x-42=51 | | 5y-10=x | | y^2+6=7 | | 3x^2-15x= | | 7x+54=-47 | | 0=3c^2-45c+42 | | 4p+19=63 | | r^2+2r-80=0 | | 4x^2+5x-6= |