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Simplifying 4x2 + 10z + -6 = 0 Reorder the terms: -6 + 4x2 + 10z = 0 Solving -6 + 4x2 + 10z = 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 + 4x2 + 6 + 10z = 0 + 6 Reorder the terms: -6 + 6 + 4x2 + 10z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4x2 + 10z = 0 + 6 4x2 + 10z = 0 + 6 Combine like terms: 0 + 6 = 6 4x2 + 10z = 6 Add '-10z' to each side of the equation. 4x2 + 10z + -10z = 6 + -10z Combine like terms: 10z + -10z = 0 4x2 + 0 = 6 + -10z 4x2 = 6 + -10z Divide each side by '4'. x2 = 1.5 + -2.5z Simplifying x2 = 1.5 + -2.5z Reorder the terms: -1.5 + x2 + 2.5z = 1.5 + -2.5z + -1.5 + 2.5z Reorder the terms: -1.5 + x2 + 2.5z = 1.5 + -1.5 + -2.5z + 2.5z Combine like terms: 1.5 + -1.5 = 0.0 -1.5 + x2 + 2.5z = 0.0 + -2.5z + 2.5z -1.5 + x2 + 2.5z = -2.5z + 2.5z Combine like terms: -2.5z + 2.5z = 0.0 -1.5 + x2 + 2.5z = 0.0 The solution to this equation could not be determined.
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