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Simplifying
14x2 + -63 + -1[4(x2 + -1) + 7] = 0
Reorder the terms:
14x2 + -63 + -1[4(-1 + x2) + 7] = 0
14x2 + -63 + -1[(-1 * 4 + x2 * 4) + 7] = 0
14x2 + -63 + -1[(-4 + 4x2) + 7] = 0
Reorder the terms:
14x2 + -63 + -1[-4 + 7 + 4x2] = 0
Combine like terms: -4 + 7 = 3
14x2 + -63 + -1[3 + 4x2] = 0
14x2 + -63 + [3 * -1 + 4x2 * -1] = 0
14x2 + -63 + [-3 + -4x2] = 0
Reorder the terms:
-63 + -3 + 14x2 + -4x2 = 0
Combine like terms: -63 + -3 = -66
-66 + 14x2 + -4x2 = 0
Combine like terms: 14x2 + -4x2 = 10x2
-66 + 10x2 = 0
Solving
-66 + 10x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '66' to each side of the equation.
-66 + 66 + 10x2 = 0 + 66
Combine like terms: -66 + 66 = 0
0 + 10x2 = 0 + 66
10x2 = 0 + 66
Combine like terms: 0 + 66 = 66
10x2 = 66
Divide each side by '10'.
x2 = 6.6
Simplifying
x2 = 6.6
Take the square root of each side:
x = {-2.569046516, 2.569046516}
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