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Simplifying
34x2 + -14 = (7x + 3)(14x + -6)
Reorder the terms:
-14 + 34x2 = (7x + 3)(14x + -6)
Reorder the terms:
-14 + 34x2 = (3 + 7x)(14x + -6)
Reorder the terms:
-14 + 34x2 = (3 + 7x)(-6 + 14x)
Multiply (3 + 7x) * (-6 + 14x)
-14 + 34x2 = (3(-6 + 14x) + 7x * (-6 + 14x))
-14 + 34x2 = ((-6 * 3 + 14x * 3) + 7x * (-6 + 14x))
-14 + 34x2 = ((-18 + 42x) + 7x * (-6 + 14x))
-14 + 34x2 = (-18 + 42x + (-6 * 7x + 14x * 7x))
-14 + 34x2 = (-18 + 42x + (-42x + 98x2))
Combine like terms: 42x + -42x = 0
-14 + 34x2 = (-18 + 0 + 98x2)
-14 + 34x2 = (-18 + 98x2)
Solving
-14 + 34x2 = -18 + 98x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-98x2' to each side of the equation.
-14 + 34x2 + -98x2 = -18 + 98x2 + -98x2
Combine like terms: 34x2 + -98x2 = -64x2
-14 + -64x2 = -18 + 98x2 + -98x2
Combine like terms: 98x2 + -98x2 = 0
-14 + -64x2 = -18 + 0
-14 + -64x2 = -18
Add '14' to each side of the equation.
-14 + 14 + -64x2 = -18 + 14
Combine like terms: -14 + 14 = 0
0 + -64x2 = -18 + 14
-64x2 = -18 + 14
Combine like terms: -18 + 14 = -4
-64x2 = -4
Divide each side by '-64'.
x2 = 0.0625
Simplifying
x2 = 0.0625
Take the square root of each side:
x = {-0.25, 0.25}
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