4x^2-12x+9=100

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Solution for 4x^2-12x+9=100 equation:


Simplifying
4x2 + -12x + 9 = 100

Reorder the terms:
9 + -12x + 4x2 = 100

Solving
9 + -12x + 4x2 = 100

Solving for variable 'x'.

Reorder the terms:
9 + -100 + -12x + 4x2 = 100 + -100

Combine like terms: 9 + -100 = -91
-91 + -12x + 4x2 = 100 + -100

Combine like terms: 100 + -100 = 0
-91 + -12x + 4x2 = 0

Factor a trinomial.
(-7 + -2x)(13 + -2x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5

Solution

x = {-3.5, 6.5}

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