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Simplifying 0 = -3x4 + -28x2 + 144 Reorder the terms: 0 = 144 + -28x2 + -3x4 Solving 0 = 144 + -28x2 + -3x4 Solving for variable 'x'. Combine like terms: 0 + -144 = -144 -144 + 28x2 + 3x4 = 144 + -28x2 + -3x4 + -144 + 28x2 + 3x4 Reorder the terms: -144 + 28x2 + 3x4 = 144 + -144 + -28x2 + 28x2 + -3x4 + 3x4 Combine like terms: 144 + -144 = 0 -144 + 28x2 + 3x4 = 0 + -28x2 + 28x2 + -3x4 + 3x4 -144 + 28x2 + 3x4 = -28x2 + 28x2 + -3x4 + 3x4 Combine like terms: -28x2 + 28x2 = 0 -144 + 28x2 + 3x4 = 0 + -3x4 + 3x4 -144 + 28x2 + 3x4 = -3x4 + 3x4 Combine like terms: -3x4 + 3x4 = 0 -144 + 28x2 + 3x4 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -48 + 9.333333333x2 + x4 = 0 Move the constant term to the right: Add '48' to each side of the equation. -48 + 9.333333333x2 + 48 + x4 = 0 + 48 Reorder the terms: -48 + 48 + 9.333333333x2 + x4 = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 9.333333333x2 + x4 = 0 + 48 9.333333333x2 + x4 = 0 + 48 Combine like terms: 0 + 48 = 48 9.333333333x2 + x4 = 48 The x term is 9.333333333x2. Take half its coefficient (4.666666667). Square it (21.77777778) and add it to both sides. Add '21.77777778' to each side of the equation. 9.333333333x2 + 21.77777778 + x4 = 48 + 21.77777778 Reorder the terms: 21.77777778 + 9.333333333x2 + x4 = 48 + 21.77777778 Combine like terms: 48 + 21.77777778 = 69.77777778 21.77777778 + 9.333333333x2 + x4 = 69.77777778 Factor a perfect square on the left side: (x2 + 4.666666667)(x2 + 4.666666667) = 69.77777778 Calculate the square root of the right side: 8.353309391 Break this problem into two subproblems by setting (x2 + 4.666666667) equal to 8.353309391 and -8.353309391.Subproblem 1
x2 + 4.666666667 = 8.353309391 Simplifying x2 + 4.666666667 = 8.353309391 Reorder the terms: 4.666666667 + x2 = 8.353309391 Solving 4.666666667 + x2 = 8.353309391 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.666666667' to each side of the equation. 4.666666667 + -4.666666667 + x2 = 8.353309391 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + x2 = 8.353309391 + -4.666666667 x2 = 8.353309391 + -4.666666667 Combine like terms: 8.353309391 + -4.666666667 = 3.686642724 x2 = 3.686642724 Simplifying x2 = 3.686642724 Take the square root of each side: x = {-1.920063208, 1.920063208}Subproblem 2
x2 + 4.666666667 = -8.353309391 Simplifying x2 + 4.666666667 = -8.353309391 Reorder the terms: 4.666666667 + x2 = -8.353309391 Solving 4.666666667 + x2 = -8.353309391 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.666666667' to each side of the equation. 4.666666667 + -4.666666667 + x2 = -8.353309391 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + x2 = -8.353309391 + -4.666666667 x2 = -8.353309391 + -4.666666667 Combine like terms: -8.353309391 + -4.666666667 = -13.019976058 x2 = -13.019976058 Simplifying x2 = -13.019976058 Reorder the terms: 13.019976058 + x2 = -13.019976058 + 13.019976058 Combine like terms: -13.019976058 + 13.019976058 = 0.000000000 13.019976058 + x2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
| 3w^2+20w+32=0 | | 4x+9x=104 | | 3y^2+6y-105=0 | | 13=-7y-3x | | 4x^2=-3x^4-24x^2+144 | | 3+4d=3 | | 7(x-1)=4x+8 | | 6(4x-3)-32=4(3x-5) | | X*X+4=X+6 | | 3X-19=-55 | | -2x^2+4x-3= | | x-7=-16 | | 6x^2-29x+5= | | 5(3X-7)=47 | | 0=3x^4-24x^2+144 | | 4(3x-2)+20=8x+4 | | 55-(4z+5)=48 | | -2(z+1)+9z=54 | | -(Z+9)+(4z+1)=-3z-4 | | 5y^2-4y-12=0 | | 5(x-2)=-2(3x+5) | | 6=24-9 | | 13(1-b)= | | 6A+4=2A+40 | | -5(x-7)+10=-28+13 | | 2z-(21+z)=-31 | | 4z-7(z+20)=85 | | x-2=-19 | | 6x+10=2x+8 | | 5x-14=3(x+2) | | (x+16)(x)=72 | | 0=5x^4-24x^2+144 |