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Simplifying
4x2 + -10x + -6 = 4x2 + -8x + -4x2 + -2x
Reorder the terms:
-6 + -10x + 4x2 = 4x2 + -8x + -4x2 + -2x
Reorder the terms:
-6 + -10x + 4x2 = -8x + -2x + 4x2 + -4x2
Combine like terms: -8x + -2x = -10x
-6 + -10x + 4x2 = -10x + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-6 + -10x + 4x2 = -10x + 0
-6 + -10x + 4x2 = -10x
Add '10x' to each side of the equation.
-6 + -10x + 10x + 4x2 = -10x + 10x
Combine like terms: -10x + 10x = 0
-6 + 0 + 4x2 = -10x + 10x
-6 + 4x2 = -10x + 10x
Combine like terms: -10x + 10x = 0
-6 + 4x2 = 0
Solving
-6 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 4x2 = 0 + 6
Combine like terms: -6 + 6 = 0
0 + 4x2 = 0 + 6
4x2 = 0 + 6
Combine like terms: 0 + 6 = 6
4x2 = 6
Divide each side by '4'.
x2 = 1.5
Simplifying
x2 = 1.5
Take the square root of each side:
x = {-1.224744871, 1.224744871}
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