8x=(21x^2)-(29)

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Solution for 8x=(21x^2)-(29) equation:


Simplifying
8x = (21x2) + -1(29)

Multiply -1 * 29
8x = (21x2) + -29

Reorder the terms:
8x = -29 + (21x2)

Solving
8x = -29 + (21x2)

Solving for variable 'x'.

Reorder the terms:
29 + 8x + (-21x2) = -29 + (21x2) + 29 + (-21x2)

Reorder the terms:
29 + 8x + (-21x2) = -29 + 29 + (21x2) + (-21x2)

Combine like terms: -29 + 29 = 0
29 + 8x + (-21x2) = 0 + (21x2) + (-21x2)
29 + 8x + (-21x2) = (21x2) + (-21x2)

Combine like terms: (21x2) + (-21x2) = 0
29 + 8x + (-21x2) = 0

Factor a trinomial.
(29 + -21x)(1 + x) = 0

Subproblem 1

Set the factor '(29 + -21x)' equal to zero and attempt to solve: Simplifying 29 + -21x = 0 Solving 29 + -21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -21x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -21x = 0 + -29 -21x = 0 + -29 Combine like terms: 0 + -29 = -29 -21x = -29 Divide each side by '-21'. x = 1.380952381 Simplifying x = 1.380952381

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {1.380952381, -1}

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