4x^2-100=-9x

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Solution for 4x^2-100=-9x equation:


Simplifying
4x2 + -100 = -9x

Reorder the terms:
-100 + 4x2 = -9x

Solving
-100 + 4x2 = -9x

Solving for variable 'x'.

Reorder the terms:
-100 + 9x + 4x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-100 + 9x + 4x2 = 0

Factor a trinomial.
(-25 + -4x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-25 + -4x)' equal to zero and attempt to solve: Simplifying -25 + -4x = 0 Solving -25 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -4x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -4x = 0 + 25 -4x = 0 + 25 Combine like terms: 0 + 25 = 25 -4x = 25 Divide each side by '-4'. x = -6.25 Simplifying x = -6.25

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-6.25, 4}

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