If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 21x = 27 Reorder the terms: 21x + 4x2 = 27 Solving 21x + 4x2 = 27 Solving for variable 'x'. Reorder the terms: -27 + 21x + 4x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 21x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -6.75 + 5.25x + x2 = 0 Move the constant term to the right: Add '6.75' to each side of the equation. -6.75 + 5.25x + 6.75 + x2 = 0 + 6.75 Reorder the terms: -6.75 + 6.75 + 5.25x + x2 = 0 + 6.75 Combine like terms: -6.75 + 6.75 = 0.00 0.00 + 5.25x + x2 = 0 + 6.75 5.25x + x2 = 0 + 6.75 Combine like terms: 0 + 6.75 = 6.75 5.25x + x2 = 6.75 The x term is 5.25x. Take half its coefficient (2.625). Square it (6.890625) and add it to both sides. Add '6.890625' to each side of the equation. 5.25x + 6.890625 + x2 = 6.75 + 6.890625 Reorder the terms: 6.890625 + 5.25x + x2 = 6.75 + 6.890625 Combine like terms: 6.75 + 6.890625 = 13.640625 6.890625 + 5.25x + x2 = 13.640625 Factor a perfect square on the left side: (x + 2.625)(x + 2.625) = 13.640625 Calculate the square root of the right side: 3.693321676 Break this problem into two subproblems by setting (x + 2.625) equal to 3.693321676 and -3.693321676.Subproblem 1
x + 2.625 = 3.693321676 Simplifying x + 2.625 = 3.693321676 Reorder the terms: 2.625 + x = 3.693321676 Solving 2.625 + x = 3.693321676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.625' to each side of the equation. 2.625 + -2.625 + x = 3.693321676 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + x = 3.693321676 + -2.625 x = 3.693321676 + -2.625 Combine like terms: 3.693321676 + -2.625 = 1.068321676 x = 1.068321676 Simplifying x = 1.068321676Subproblem 2
x + 2.625 = -3.693321676 Simplifying x + 2.625 = -3.693321676 Reorder the terms: 2.625 + x = -3.693321676 Solving 2.625 + x = -3.693321676 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.625' to each side of the equation. 2.625 + -2.625 + x = -3.693321676 + -2.625 Combine like terms: 2.625 + -2.625 = 0.000 0.000 + x = -3.693321676 + -2.625 x = -3.693321676 + -2.625 Combine like terms: -3.693321676 + -2.625 = -6.318321676 x = -6.318321676 Simplifying x = -6.318321676Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.068321676, -6.318321676}
| 6(t+3)=-6 | | 15x(-5)= | | 3(3s+7)=129 | | (u-8)*10=30 | | (q-8)*6=48 | | X^6=85 | | 4v+22=2(2v-3) | | -24=3w-9 | | 4v+22=2(v-3) | | 5x^2=92 | | 15x+35y=25 | | 5(2x+1)7(4x+2)=0 | | r^2-5r+16=0 | | 8x+2=6x+38 | | 7+91x=39x+11 | | 128=(x-4)(x-4)(3) | | 4log(x+3)=8 | | 8y+30=2(4y+3) | | r^2-10r-32=0 | | f(x)=4x^2-2x+2 | | (2/7)x=6 | | 3e^4x=1560 | | 6y-(3y+4)=y | | -7(x+8)=5x-44 | | 3s+2=50 | | 4x^4-12x^2-160=0 | | 3x-214=110-6x | | 4x^4-12x^2=160 | | 4cos(x)-cos(4x)=0 | | 4x+2=6y | | u^3-16u=0 | | Y=-3+25 |