84=16x^2+10x

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Solution for 84=16x^2+10x equation:


Simplifying
84 = 16x2 + 10x

Reorder the terms:
84 = 10x + 16x2

Solving
84 = 10x + 16x2

Solving for variable 'x'.

Reorder the terms:
84 + -10x + -16x2 = 10x + -10x + 16x2 + -16x2

Combine like terms: 10x + -10x = 0
84 + -10x + -16x2 = 0 + 16x2 + -16x2
84 + -10x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
84 + -10x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(42 + -5x + -8x2) = 0

Factor a trinomial.
2((2 + -1x)(21 + 8x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(21 + 8x)' equal to zero and attempt to solve: Simplifying 21 + 8x = 0 Solving 21 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 8x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 0 + -21 8x = 0 + -21 Combine like terms: 0 + -21 = -21 8x = -21 Divide each side by '8'. x = -2.625 Simplifying x = -2.625

Solution

x = {2, -2.625}

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